Symmetries, solitons and integrable models (original) (raw)

Darboux transformations and exact soliton solutions of integrable coupled spin systems related with the Manakov system

Ratbay Myrzakulov

arXiv (Cornell University), 2016

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Darboux transformation and exact solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials

Ratbay Myrzakulov

International Journal of Geometric Methods in Modern Physics, 2015

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Darboux transformation and exact solitonic solutions of integrable coupled nonlinear wave equation

Hira Sohail

2022

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Exact solutions and conservation laws of a coupled integrable dispersionless system

Masood Khalique

Filomat, 2012

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Darboux transformations of supersymmetric Heisenberg magnet model

Zeeshan Amjad

Journal of Physics Communications, 2018

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Quasi-Grammian Solutions of the generalized Heisenberg magnet model

Bushra Haider

Canadian Journal of Physics, 2019

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Multisolitons of the U(N)$$ generalized Heisenberg magnet model and the Yang–Baxter relation

Zeeshan Amjad

Theoretical and Mathematical Physics, 2020

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Soliton Spectrum of Integrable Models with Local Symmetries

Galen Sotkov

Journal of High Energy Physics, 2002

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Darboux transformations of integrable couplings and applications

Wen-Xiu Ma

Reviews in Mathematical Physics, 2018

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Multicomponent integrable wave equations: I. Darboux-dressing transformation

antonio degasperis

Journal of Physics A: Mathematical and Theoretical, 2007

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Binary Darboux Transformations of The Supersymmetric Heisenberg Magnet Model

Zeeshan Amjad

Theoretical and Mathematical Physics, 2019

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On Soliton Interactions for the Hierarchy of a Generalised Heisenberg Ferromagnetic Model on Symmetric Space

Tihomir Valchev

2012

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A (2+ 1)-dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures

Ratbay Myrzakulov

1997

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Darboux transformation and multi-soliton solutions for some soliton equations

Zhijun Qiao

Chaos, Solitons & Fractals, 2009

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Multicomponent integrable wave equations: II. Soliton solutions

antonio degasperis

Journal of Physics A: Mathematical and Theoretical, 2009

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Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations

Morgan McAnally

2017

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On soliton solutions of the time-discrete generalized lattice Heisenberg magnet model

Wajahat Riaz

2019

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Discrete symmetries, Darboux transformation, and exact solutions of the Wess–Zumino–Novikov–Witten model

Evgenii Gutshabash

Journal of Mathematical Sciences, 2009

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A discrete generalized coupled dispersionless integrable system and its multisoliton solutions

Wajahat Riaz

Journal of Mathematical Analysis and Applications, 2018

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Spin systems associated with integrable nonlinear Schrödinger equations

Акгуль Найзагараева, Kuralay Yesmakhanova

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The dispersionless integrable systems and related conformal structure generating equations of mathematical physics

Denis Blackmore

2019

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Notes on exact multi-soliton solutions of noncommutative integrable hierarchies

Masashi Hamanaka

Journal of High Energy Physics, 2007

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Notes on Exact Multi-Soliton Solutions of Noncommutative Integrable Hierarchies (Extended Version)

Masashi Hamanaka

2007

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Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV–Sine-Gordon equation

Dr. Lakhveer Kaur

Nonlinear Dynamics, 2018

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Generalized Heisenberg Ferromagnet type Equation and Modified Camassa-Holm Equation: Geometric Formulation, Soliton Solutions and Equivalence

Tolkynay Myrzakul

arXiv: Exactly Solvable and Integrable Systems, 2020

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Generalized Lie-algebraic structures related to integrable dispersionless dynamical systems and their application

Anatolij Prykarpatski

Journal of Mathematical Sciences and Modelling

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Coupled dispersionless and generalized Heisenberg ferromagnet equations with self-consistent sources: Geometry and equivalence

Guldana Bekova

International Journal of Geometric Methods in Modern Physics, 2020

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The soliton correlation matrix and the reduction problem for integrable systems

Steve Shnider

Communications in Mathematical Physics, 1984

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Geometries and Symmetries of Soliton equations and Integrable Elliptic equations

Chuu-Lian Terng

2002

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On a Set of Models of Magnets and Chiral Fields: Integrability, the Darboux Transformation, and Exact Solutions

Evgenii Gutshabash

Journal of Mathematical Sciences, 2003

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