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Papers by Laxmikanta Mandi
Indian Journal of Physics, Jan 31, 2023
IntechOpen eBooks, Nov 19, 2020
Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the framew... more Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the framework of Korteweg-de Vries (KdV), damped force Korteweg-de Vries (DFKdV), damped force modified Korteweg-de Vries (DFMKdV) and damped forced Zakharov-Kuznetsov (DFZK) equations in an unmagnetized collisional dusty plasma consisting of negatively charged dust grain, positively charged ions, Maxwellian distributed electrons and neutral particles. Using reductive perturbation technique (RPT), the evolution equations are obtained for DIAWs.
Plasma Physics Reports, May 1, 2022
Physics of Fluids
Properties of dust-ion acoustic waves (DIAWs) in an unmagnetized dusty plasma consisting of mobil... more Properties of dust-ion acoustic waves (DIAWs) in an unmagnetized dusty plasma consisting of mobile ions, superthermal electrons, and negatively charged dust clouds with charge fluctuation are investigated. Burgers’ equation is derived from the fluid equation of the plasmas by considering the reductive perturbation technique. The Lax pair of the evolution equation is obtained, and the characteristics of the DIAWs are investigated by employing the Darboux transformation. Some new waves (one-soliton, two-soliton-shocks, etc.) other than usual shocks are observed as the Darboux transformation is used through the Lax pair. It is also shown that all the physical plasma parameters have a significant effect on the structure of the nonlinear waves.
Zeitschrift für Naturforschung A
The hyperchaos and multistability of electron acoustic waves in a quantum plasma model comprising... more The hyperchaos and multistability of electron acoustic waves in a quantum plasma model comprising of nondegenerate cold and degenerate hot electrons and stationary ions are investigated. A six-dimensional dynamical system is constructed from the fluid equations of the model considering traveling wave transformation. The stability analysis of the system is done by finding out the equilibria in the inertia frame. It is interesting to investigate that though the novel system is conservative, it can produce hyperchaos for a set of associated parameters. We have also reported the coexistence of many hyperchaotic attractors as the system is extremely sensitive to the initials. The signature of hyperchaos and coexisting hyperchaos in a conservative quantum plasma system has never been reported before.
Indian Journal of Physics
Selected Topics in Plasma Physics
Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the frame-... more Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the frame-work of Korteweg-de Vries (KdV), damped force Korteweg-de Vries (DFKdV), damped force modified Korteweg-de Vries (DFMKdV) and damped forced Zakharov-Kuznetsov (DFZK) equations in an unmagnetized collisional dusty plasma consisting of negatively charged dust grain, positively charged ions, Maxwellian distributed electrons and neutral particles. Using reductive perturbation technique (RPT), the evolution equations are obtained for DIAWs.
arXiv (Cornell University), Dec 4, 2021
Dust-ion collisional effect in dust ion acoustic waves is investigated in the framework of spheri... more Dust-ion collisional effect in dust ion acoustic waves is investigated in the framework of spherical and cylindrical geometry. For such study the fluid equation are takes and collisional effect is consider in the equation of momentum balance. Using reductive perturbation technique the evolution equation is derived with additional damping term for non planner geometry. Using the conservation principle an analytical time dependent solitary wave solution is obtained for the evolution equation. It is seen that dust ion collisional frequency has an significant effect on the width and amplitude of the solitary wave solution.
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021
We consider a hydrodynamic model of a quantum dusty plasma. We prove mathematically that the resu... more We consider a hydrodynamic model of a quantum dusty plasma. We prove mathematically that the resulting dust ion-acoustic plasma waves present the property of being conservative on average. Furthermore, we test this property numerically, confirming its validity. Using standard techniques from the study of dynamical systems, as, for example, the Lyapunov characteristic exponents, we investigate the chaotic dynamics of the plasma and show numerically its existence for a wide range of parameter values. Finally, we illustrate how chaotic dynamics organizes in the parameter space for fixed values of the initial conditions, as the Mach number and the quantum diffraction parameter are continuously varied.
![Research paper thumbnail of Comment on “The collision effect between dust grains and ions to the dust ion acoustic waves in a dusty plasma” [Phys. Plasmas 19, 103705 (2012)]](https://attachments.academia-assets.com/108680014/thumbnails/1.jpg)
](Physics of Plasmas, 2018
The paper by Yang et al. [Phys. Plasmas 19, 103705 (2012)] contains some errors which have been p... more The paper by Yang et al. [Phys. Plasmas 19, 103705 (2012)] contains some errors which have been pointed out in this Comment. They did not normalize all the independent and dependent variables, but to derive the nonlinear evolution equation (KdV-type equation), they expanded dependent variables around their equilibrium values which is not correct. The KdV-type equation obtained in the work [Phys. Plasmas 19, 103705 (2012)] is not correct. To conclude, both the qualitative and quantitative results obtained in the work related to the KdV-type equation are not correct and realistic.
Zeitschrift für Naturforschung A, 2018
Analytical solitary wave solution of the dust ion acoustic (DIA) waves was studied in the framewo... more Analytical solitary wave solution of the dust ion acoustic (DIA) waves was studied in the framework of the damped forced Korteweg–de Vries (DFKdV) equation in superthermal collisional dusty plasmas. The reductive perturbation technique was applied to derive the DKdV equation. It is observed that both the rarefactive and compressive solitary wave solutions are possible for this plasma model. The effects of κ and the strength (f 0) and frequency (ω) of the external periodic force were studied on the analytical solitary wave solution of the DIA waves. It is observed that the parameters κ, f 0 and ω have significant effects on the structure of the damped forced DIA solitary waves. The results of this study may have relevance in laboratory plasmas as well as in space plasmas.
Physics of Plasmas, 2018
Ion acoustic solitary waves in superthermal plasmas are investigated in the presence of trapped e... more Ion acoustic solitary waves in superthermal plasmas are investigated in the presence of trapped electrons. The reductive perturbation technique is employed to obtain a forced Korteweg–de Vries-like Schamel equation. An analytical solution is obtained in the presence of externally applied force. The effect of the external applied periodic force is also observed. The effect of the spectral index (κ), the strength (f0), and the frequency (ω) on the amplitude and width of the solitary wave is obtained. The result may be useful in laboratory plasma as well as space environments.
Advances in Space Research, 2019
Dynamics of ion acoustic waves are studied in Thomas-Fermi plasmas with source term consisting of... more Dynamics of ion acoustic waves are studied in Thomas-Fermi plasmas with source term consisting of electrons, positrons and positive ions, where electrons and positrons follow zero-temperature Fermi-gas statistics, but ions behave as classical fluid. Using RPT (reductive perturbation technique) the forced KdV and modified KdV equations are obtained. Employing the concept of planar dynamical systems, periodic, quasiperiodic and chaotic features of ion-acoustic waves are studied in Thomas-Fermi plasmas with space debris depending on positron concentration (a), speed (v d) of the space debris and strength (f 0) of source perturbation. The results of this work may have relevance in the Thomas-Fermi plasma environments with space debris.
Plasma Physics Reports
Quasiperiodic and chaotic features of the dust ion acoustic (DIA) waves in a magnetized dusty pla... more Quasiperiodic and chaotic features of the dust ion acoustic (DIA) waves in a magnetized dusty plasma is studied. Reductive perturbation technique (RPT) is used to derive the damped forced Kadomtsev–Petviashvili (KP) equation. The effect of the dust ion collisional frequency (νid0) on the quasiperiodic and chaotic motion of the DIA waves is studied. It is observed that in absence of dust–ion collisions, the DIA waves exhibit quasiperiodic behavior and the motion becomes chaotic while the dust–ion collisions are taken into consideration. Thus, the dust–ion collisional frequency (νid0) plays the role of switching parameter from quasiperiodic motion to chaotic motion for the DIA waves.
Indian Journal of Physics, Jan 31, 2023
IntechOpen eBooks, Nov 19, 2020
Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the framew... more Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the framework of Korteweg-de Vries (KdV), damped force Korteweg-de Vries (DFKdV), damped force modified Korteweg-de Vries (DFMKdV) and damped forced Zakharov-Kuznetsov (DFZK) equations in an unmagnetized collisional dusty plasma consisting of negatively charged dust grain, positively charged ions, Maxwellian distributed electrons and neutral particles. Using reductive perturbation technique (RPT), the evolution equations are obtained for DIAWs.
Plasma Physics Reports, May 1, 2022
Physics of Fluids
Properties of dust-ion acoustic waves (DIAWs) in an unmagnetized dusty plasma consisting of mobil... more Properties of dust-ion acoustic waves (DIAWs) in an unmagnetized dusty plasma consisting of mobile ions, superthermal electrons, and negatively charged dust clouds with charge fluctuation are investigated. Burgers’ equation is derived from the fluid equation of the plasmas by considering the reductive perturbation technique. The Lax pair of the evolution equation is obtained, and the characteristics of the DIAWs are investigated by employing the Darboux transformation. Some new waves (one-soliton, two-soliton-shocks, etc.) other than usual shocks are observed as the Darboux transformation is used through the Lax pair. It is also shown that all the physical plasma parameters have a significant effect on the structure of the nonlinear waves.
Zeitschrift für Naturforschung A
The hyperchaos and multistability of electron acoustic waves in a quantum plasma model comprising... more The hyperchaos and multistability of electron acoustic waves in a quantum plasma model comprising of nondegenerate cold and degenerate hot electrons and stationary ions are investigated. A six-dimensional dynamical system is constructed from the fluid equations of the model considering traveling wave transformation. The stability analysis of the system is done by finding out the equilibria in the inertia frame. It is interesting to investigate that though the novel system is conservative, it can produce hyperchaos for a set of associated parameters. We have also reported the coexistence of many hyperchaotic attractors as the system is extremely sensitive to the initials. The signature of hyperchaos and coexisting hyperchaos in a conservative quantum plasma system has never been reported before.
Indian Journal of Physics
Selected Topics in Plasma Physics
Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the frame-... more Analytical solitary wave solution of the dust ion acoustic waves (DIAWs) is studied in the frame-work of Korteweg-de Vries (KdV), damped force Korteweg-de Vries (DFKdV), damped force modified Korteweg-de Vries (DFMKdV) and damped forced Zakharov-Kuznetsov (DFZK) equations in an unmagnetized collisional dusty plasma consisting of negatively charged dust grain, positively charged ions, Maxwellian distributed electrons and neutral particles. Using reductive perturbation technique (RPT), the evolution equations are obtained for DIAWs.
arXiv (Cornell University), Dec 4, 2021
Dust-ion collisional effect in dust ion acoustic waves is investigated in the framework of spheri... more Dust-ion collisional effect in dust ion acoustic waves is investigated in the framework of spherical and cylindrical geometry. For such study the fluid equation are takes and collisional effect is consider in the equation of momentum balance. Using reductive perturbation technique the evolution equation is derived with additional damping term for non planner geometry. Using the conservation principle an analytical time dependent solitary wave solution is obtained for the evolution equation. It is seen that dust ion collisional frequency has an significant effect on the width and amplitude of the solitary wave solution.
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021
We consider a hydrodynamic model of a quantum dusty plasma. We prove mathematically that the resu... more We consider a hydrodynamic model of a quantum dusty plasma. We prove mathematically that the resulting dust ion-acoustic plasma waves present the property of being conservative on average. Furthermore, we test this property numerically, confirming its validity. Using standard techniques from the study of dynamical systems, as, for example, the Lyapunov characteristic exponents, we investigate the chaotic dynamics of the plasma and show numerically its existence for a wide range of parameter values. Finally, we illustrate how chaotic dynamics organizes in the parameter space for fixed values of the initial conditions, as the Mach number and the quantum diffraction parameter are continuously varied.
Physics of Plasmas, 2018
The paper by Yang et al. [Phys. Plasmas 19, 103705 (2012)] contains some errors which have been p... more The paper by Yang et al. [Phys. Plasmas 19, 103705 (2012)] contains some errors which have been pointed out in this Comment. They did not normalize all the independent and dependent variables, but to derive the nonlinear evolution equation (KdV-type equation), they expanded dependent variables around their equilibrium values which is not correct. The KdV-type equation obtained in the work [Phys. Plasmas 19, 103705 (2012)] is not correct. To conclude, both the qualitative and quantitative results obtained in the work related to the KdV-type equation are not correct and realistic.
Zeitschrift für Naturforschung A, 2018
Analytical solitary wave solution of the dust ion acoustic (DIA) waves was studied in the framewo... more Analytical solitary wave solution of the dust ion acoustic (DIA) waves was studied in the framework of the damped forced Korteweg–de Vries (DFKdV) equation in superthermal collisional dusty plasmas. The reductive perturbation technique was applied to derive the DKdV equation. It is observed that both the rarefactive and compressive solitary wave solutions are possible for this plasma model. The effects of κ and the strength (f 0) and frequency (ω) of the external periodic force were studied on the analytical solitary wave solution of the DIA waves. It is observed that the parameters κ, f 0 and ω have significant effects on the structure of the damped forced DIA solitary waves. The results of this study may have relevance in laboratory plasmas as well as in space plasmas.
Physics of Plasmas, 2018
Ion acoustic solitary waves in superthermal plasmas are investigated in the presence of trapped e... more Ion acoustic solitary waves in superthermal plasmas are investigated in the presence of trapped electrons. The reductive perturbation technique is employed to obtain a forced Korteweg–de Vries-like Schamel equation. An analytical solution is obtained in the presence of externally applied force. The effect of the external applied periodic force is also observed. The effect of the spectral index (κ), the strength (f0), and the frequency (ω) on the amplitude and width of the solitary wave is obtained. The result may be useful in laboratory plasma as well as space environments.
Advances in Space Research, 2019
Dynamics of ion acoustic waves are studied in Thomas-Fermi plasmas with source term consisting of... more Dynamics of ion acoustic waves are studied in Thomas-Fermi plasmas with source term consisting of electrons, positrons and positive ions, where electrons and positrons follow zero-temperature Fermi-gas statistics, but ions behave as classical fluid. Using RPT (reductive perturbation technique) the forced KdV and modified KdV equations are obtained. Employing the concept of planar dynamical systems, periodic, quasiperiodic and chaotic features of ion-acoustic waves are studied in Thomas-Fermi plasmas with space debris depending on positron concentration (a), speed (v d) of the space debris and strength (f 0) of source perturbation. The results of this work may have relevance in the Thomas-Fermi plasma environments with space debris.
Plasma Physics Reports
Quasiperiodic and chaotic features of the dust ion acoustic (DIA) waves in a magnetized dusty pla... more Quasiperiodic and chaotic features of the dust ion acoustic (DIA) waves in a magnetized dusty plasma is studied. Reductive perturbation technique (RPT) is used to derive the damped forced Kadomtsev–Petviashvili (KP) equation. The effect of the dust ion collisional frequency (νid0) on the quasiperiodic and chaotic motion of the DIA waves is studied. It is observed that in absence of dust–ion collisions, the DIA waves exhibit quasiperiodic behavior and the motion becomes chaotic while the dust–ion collisions are taken into consideration. Thus, the dust–ion collisional frequency (νid0) plays the role of switching parameter from quasiperiodic motion to chaotic motion for the DIA waves.