The Bäcklund transformations and abundant explicit exact solutions for the AKNS-SWW equation

DOI10.1016/j.cnsns.2010.09.024zbMath1221.35361OpenAlexW2080845840MaRDI QIDQ718559

Yadong Shang, Yong Huang

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.09.024

zbMATH Keywords

Bäcklund transformationthe extended homogeneous balance methodAKNSexplicit exact solutionsSWW equationthe extended hyperbolic function method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (2)

Interacting waves of Davey-Stewartson III system ⋮ The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bäcklund transformation, Lax pairs and explicit exact solutions for the shallow water waves equation
• Abundant exact and explicit solitary wave and periodic wave solutions to the Sharma-Tasso-Olver equation
• A new approach to Bäcklund transformations of nonlinear evolution equations
• Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
• Exact solitary wave solutions of nonlinear wave equations.
• Exact travelling wave solutions of nonlinear evolution equations in (1+1) and (2+1) dimensions
• Bäcklund transformation and soliton solutions for the shallow water waves equation
• Exact solutions for a compound KdV-Burgers equation
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• N-Soliton Solutions of Model Equations for Shallow Water Waves
• Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations
• Inverse scattering and the boussinesq equation
• Link between solitary waves and projective Riccati equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• On a shallow water wave equation
• The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation
• Hydrodynamic Foundation and Painlevé Analysis of Hirota-Satsuma-Type Equations
• The Novel Multi-Soliton Solutions of Equation for Shallow Water Waves

This page was built for publication: The Bäcklund transformations and abundant explicit exact solutions for the AKNS-SWW equation