Exact travelling wave solutions for the dissipative \((2+1)\)-dimensional AKNS equation

DOI10.1016/j.amc.2010.06.011zbMath1200.35265OpenAlexW2064592429MaRDI QIDQ711310

Qiang Liu, Wei-Guo Zhang

Publication date: 25 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.011

zbMATH Keywords

error estimatesdamped oscillatory solutionglobal phase portraitbell profile solitary wave solutiondissipative \((2+1)\)-dimensional AKNS equationkink profile solitary wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35) Second-order parabolic systems (35K40) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (3)

Bounded Traveling Wave Solutions of a (2+1)-Dimensional Breaking Soliton Equation ⋮ Dynamical analysis of diversity lump solutions to the (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure equation ⋮ \(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions

Cites Work

• Explicit solutions of the (2 + 1)-dimensional AKNS shallow water wave equation with variable coefficients
• Bäcklund transformation, Lax pairs and explicit exact solutions for the shallow water waves equation
• Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and exp-function method
• Multiple-soliton solutions of two extended model equations for shallow water waves
• Bäcklund transformation and soliton solutions for the shallow water waves equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Model equations for long waves in nonlinear dispersive systems
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