Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation

DOI10.1016/j.camwa.2018.10.017zbMath1442.37085OpenAlexW2898110237MaRDI QIDQ2203775

Shou-Fu Tian, Tian-Tian Zhang, Ding Guo

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.10.017

zbMATH Keywords

stability analysisDarboux transformationBäcklund transformationLax pairHirota bilinear formHeisenberg ferromagnetic spin chain equation

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08)

Related Items (9)

Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation ⋮ On traveling wave solutions of a class of KdV-Burgers-Kuramoto type equations ⋮ Analytical study of two nonlinear Schrödinger equations via optical soliton solutions ⋮ Investigation for optical soliton solutions of two nonlinear Schrödinger equations via two concrete finite series methods ⋮ High-order breathers, lumps and hybrid solutions to the (2+1)-dimensional fifth-order KdV equation ⋮ Lump wave and hybrid solutions of a generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles ⋮ The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations ⋮ THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION ⋮ LUMP SOLUTIONS TO THE GENERALIZED (2+1)-DIMENSIONAL B-TYPE KADOMTSEV-PETVIASHVILI EQUATION

Cites Work

• Unnamed Item
• Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation
• Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma
• Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
• Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
• Rogue waves, homoclinic breather waves and soliton waves for the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
• Super Riemann theta function periodic wave solutions and rational characteristics for a supersymmetric KdV-Burgers equation
• Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation
• Symmetry analysis and reductions of the two-dimensional generalized Benney system via geometric approach
• Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
• On Lie symmetries, optimal systems and explicit solutions to the Kudryashov-Sinelshchikov equation
• Integrability and exact solutions of a two-component Korteweg-de Vries system
• Exact solutions of discrete complex cubic Ginzburg-Landau equation via extended tanh-function approach
• Asymptotic behavior of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
• Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
• Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
• On the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
• Dynamics of the breathers and rogue waves in the higher-order nonlinear Schrödinger equation
• Infinite propagation speed of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
• Solitary waves, homoclinic breather waves and rogue waves of the (3 + 1)-dimensional Hirota bilinear equation
• Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions
• Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation
• Lax pair, infinitely many conservation laws and solitons for a \((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients
• Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
• Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation
• On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
• Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
• Nonlinear-Evolution Equations of Physical Significance
• On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation
• Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
• Integrability and equivalence relationships of six integrable coupled Korteweg-de Vries equations
• Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation
• Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
• Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation
• On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids

This page was built for publication: Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation