mohammad najafi | Razi University of Kermanshah, Iran (original) (raw)

Papers by mohammad najafi

Walailak Journal of Science and Technology, Dec 23, 2013

In this paper, the sine-cosine method is used to construct exact traveling wave solutions of the ... more In this paper, the sine-cosine method is used to construct exact traveling wave solutions of the Ito equation. As a result, many new periodic and solitary wave solutions are derived to generalized (2+1)dimensional Ito equation. Throughout the paper, all the calculations are made with the aid of the Maple packet program.

… in Theoretical Physics, 2012

ABSTRACT The multiple exp-function method is a new approach to obtain multiple wave solutions of ... more ABSTRACT The multiple exp-function method is a new approach to obtain multiple wave solutions of nonlinear partial differential equations (NLPDEs). By this method one can obtain multi-soliton solutions of NLPDEs. In this paper, using computer algebra systems, we apply the multiple exp-function method to construct the exact multiple wave solutions of a (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Also, we extend the equation to a (3+1)-dimensional case and obtain some exact solutions for the new equation by applying the multiple exp-function method. By these applications, we obtain single-wave, double-wave and multi-wave solutions for these equations.

… Journal of Computational and Mathematical Sciences, 2012

International Journal of Applied …, 2012

In this Letter, a (2 + 1)-dimensional soliton equation is studied by He's variational approach. T... more In this Letter, a (2 + 1)-dimensional soliton equation is studied by He's variational approach. The solitary solutions are obtained using the Ritz method.

International Journal of …, 2012

An equiangular tight frame (ETF) is a d × n matrix that has orthogonal rows and unit-norm columns... more An equiangular tight frame (ETF) is a d × n matrix that has orthogonal rows and unit-norm columns. ETFs have applications in communications, coding theory and quantum computing. In this paper we investigate type of ETFs that have n + 1 vectors in R n . Also we state the connection between these frames with the complete graphs that containing n + 1 vertices.

International Journal of …, 2012

By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutio... more By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutions of the (2 + 1)-dimensional Bogoyavlenskii equation in this paper. Many new families of exact traveling wave solutions of the (2 + 1)-dimensional Bogoyavlenskii equation are successfully obtained. The computation for the method appears to be easier and faster by general mathematical software.

International Journal of …, 2011

By means of idea of three-wave method, we obtain some analytic solutions for the (2+1)dimensional... more By means of idea of three-wave method, we obtain some analytic solutions for the (2+1)dimensional potential Kadomtsev-Petviashvili equation in its bilinear form. By comparison of this method and another analytic methods, like HAM, Exp-function method, HTA and EHTA, we can see that the new idea is very easy and straightforward. Also, we obtain the Wronskian form of the equation.

Journal of Advanced Computer …, 2012

By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutio... more By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutions of the (2 + 1)-dimensional soliton equation in this paper. Many new families of exact traveling wave solutions of the (2 + 1)-dimensional soliton equation are successfully obtained. The computation for the method appears to be easier and faster by general mathematical software.

International Journal of Advanced …, 2013

By means of the idea of sine-cosine method, some analytic solutions for the generalized (2+1)-dim... more By means of the idea of sine-cosine method, some analytic solutions for the generalized (2+1)-dimensional nonlinear evolution equations are presented. (2+1)-dimensional breaking soliton equation and (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation and (2+1)-dimensional Bogoyavlenskii's Breaking soliton equation are chosen to illustrate the effectiveness of the method.

International Journal of Physical …, 2013

In this Letter, we study Camassa-Holm equation and Simplified Modified Camassa-Holm equation by u... more In this Letter, we study Camassa-Holm equation and Simplified Modified Camassa-Holm equation by using the well-known He's Semi-inverse Method. The solitary solutions are obtained using the Ritz method. In fact, the He's Semi-inverse Method is a promising method to various systems of linear and nonlinear equations.

Food and Public Health, 2012

International Journal of Advanced …, 2013

A set of sufficient conditions consisting of systems of linear partial differential equations is ... more A set of sufficient conditions consisting of systems of linear partial differential equations is obtained which guarantees that the Wronskian determinant solves the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the bilinear form. Our results suggest that more general conditions could be derived by further study.

World Academy of Science, Engineer-ing and …, 2011

International Journal of Mathematical …, 2010

By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear f... more By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear form of Benjamin-Bona-Mahony-Burgers (shortly BBMB) equations in its bilinear form.

I. INTRODUCTION IN recent years, many kinds of powerful methods have been proposed to find soluti... more I. INTRODUCTION IN recent years, many kinds of powerful methods have been proposed to find solutions of nonlinear partial differential equations, numerically and/or analytically, eg, the variational iteration method [1], [2], [3], the homotopy perturbation method [4], [5], [6], [7], ...

Nonlinear Science Letters A(ISSN 2076-2275) offers a fast publication for novel and frontier nonl... more Nonlinear Science Letters A(ISSN 2076-2275) offers a fast publication for novel and frontier nonlinear sciences. It encourages the submission of new research on:

Abstract—In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly... more Abstract—In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly CBS) equations are investi-gated. We employ the Hirota's bilinear method to obtain the bilinear form of CBS equations. Then by the idea of extended homoclinic test ...

By means of modification of the extended homoclinic test approach (mEHTA), we obtain some new exa... more By means of modification of the extended homoclinic test approach (mEHTA), we obtain some new exact soliton solutions for the (2+1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) equation by obtaining a bilinear closed form for it.

Walailak Journal of Science and Technology, Dec 23, 2013

In this paper, the sine-cosine method is used to construct exact traveling wave solutions of the ... more In this paper, the sine-cosine method is used to construct exact traveling wave solutions of the Ito equation. As a result, many new periodic and solitary wave solutions are derived to generalized (2+1)dimensional Ito equation. Throughout the paper, all the calculations are made with the aid of the Maple packet program.

… in Theoretical Physics, 2012

ABSTRACT The multiple exp-function method is a new approach to obtain multiple wave solutions of ... more ABSTRACT The multiple exp-function method is a new approach to obtain multiple wave solutions of nonlinear partial differential equations (NLPDEs). By this method one can obtain multi-soliton solutions of NLPDEs. In this paper, using computer algebra systems, we apply the multiple exp-function method to construct the exact multiple wave solutions of a (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Also, we extend the equation to a (3+1)-dimensional case and obtain some exact solutions for the new equation by applying the multiple exp-function method. By these applications, we obtain single-wave, double-wave and multi-wave solutions for these equations.

… Journal of Computational and Mathematical Sciences, 2012

International Journal of Applied …, 2012

In this Letter, a (2 + 1)-dimensional soliton equation is studied by He's variational approach. T... more In this Letter, a (2 + 1)-dimensional soliton equation is studied by He's variational approach. The solitary solutions are obtained using the Ritz method.

International Journal of …, 2012

An equiangular tight frame (ETF) is a d × n matrix that has orthogonal rows and unit-norm columns... more An equiangular tight frame (ETF) is a d × n matrix that has orthogonal rows and unit-norm columns. ETFs have applications in communications, coding theory and quantum computing. In this paper we investigate type of ETFs that have n + 1 vectors in R n . Also we state the connection between these frames with the complete graphs that containing n + 1 vertices.

International Journal of …, 2012

By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutio... more By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutions of the (2 + 1)-dimensional Bogoyavlenskii equation in this paper. Many new families of exact traveling wave solutions of the (2 + 1)-dimensional Bogoyavlenskii equation are successfully obtained. The computation for the method appears to be easier and faster by general mathematical software.

International Journal of …, 2011

By means of idea of three-wave method, we obtain some analytic solutions for the (2+1)dimensional... more By means of idea of three-wave method, we obtain some analytic solutions for the (2+1)dimensional potential Kadomtsev-Petviashvili equation in its bilinear form. By comparison of this method and another analytic methods, like HAM, Exp-function method, HTA and EHTA, we can see that the new idea is very easy and straightforward. Also, we obtain the Wronskian form of the equation.

Journal of Advanced Computer …, 2012

By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutio... more By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutions of the (2 + 1)-dimensional soliton equation in this paper. Many new families of exact traveling wave solutions of the (2 + 1)-dimensional soliton equation are successfully obtained. The computation for the method appears to be easier and faster by general mathematical software.

International Journal of Advanced …, 2013

By means of the idea of sine-cosine method, some analytic solutions for the generalized (2+1)-dim... more By means of the idea of sine-cosine method, some analytic solutions for the generalized (2+1)-dimensional nonlinear evolution equations are presented. (2+1)-dimensional breaking soliton equation and (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation and (2+1)-dimensional Bogoyavlenskii's Breaking soliton equation are chosen to illustrate the effectiveness of the method.

International Journal of Physical …, 2013

In this Letter, we study Camassa-Holm equation and Simplified Modified Camassa-Holm equation by u... more In this Letter, we study Camassa-Holm equation and Simplified Modified Camassa-Holm equation by using the well-known He's Semi-inverse Method. The solitary solutions are obtained using the Ritz method. In fact, the He's Semi-inverse Method is a promising method to various systems of linear and nonlinear equations.

Food and Public Health, 2012

International Journal of Advanced …, 2013

A set of sufficient conditions consisting of systems of linear partial differential equations is ... more A set of sufficient conditions consisting of systems of linear partial differential equations is obtained which guarantees that the Wronskian determinant solves the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the bilinear form. Our results suggest that more general conditions could be derived by further study.

World Academy of Science, Engineer-ing and …, 2011

International Journal of Mathematical …, 2010

By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear f... more By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear form of Benjamin-Bona-Mahony-Burgers (shortly BBMB) equations in its bilinear form.

I. INTRODUCTION IN recent years, many kinds of powerful methods have been proposed to find soluti... more I. INTRODUCTION IN recent years, many kinds of powerful methods have been proposed to find solutions of nonlinear partial differential equations, numerically and/or analytically, eg, the variational iteration method [1], [2], [3], the homotopy perturbation method [4], [5], [6], [7], ...

Nonlinear Science Letters A(ISSN 2076-2275) offers a fast publication for novel and frontier nonl... more Nonlinear Science Letters A(ISSN 2076-2275) offers a fast publication for novel and frontier nonlinear sciences. It encourages the submission of new research on:

Abstract—In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly... more Abstract—In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly CBS) equations are investi-gated. We employ the Hirota's bilinear method to obtain the bilinear form of CBS equations. Then by the idea of extended homoclinic test ...

By means of modification of the extended homoclinic test approach (mEHTA), we obtain some new exa... more By means of modification of the extended homoclinic test approach (mEHTA), we obtain some new exact soliton solutions for the (2+1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) equation by obtaining a bilinear closed form for it.