New exact solutions with an arbitrary function of two \((1+1)\)-dimensional nonlinear evolution equations

DOI10.1016/j.physleta.2007.01.005zbMath1203.35243OpenAlexW2023099433MaRDI QIDQ620861

Shou-feng Shen

Publication date: 20 January 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.01.005

zbMATH Keywords

exact solutionnonlinear evolution equationscoherent structureBäcklund transformationvariable separation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Bäcklund transformations and solutions of some generalized nonlinear evolution equations ⋮ The Davey-Stewartson equation with sources derived from nonlinear variable separation method ⋮ Exact similarity and traveling wave solutions to an integrable evolution equation for surface waves in deep water

Cites Work

• Unnamed Item
• A note on class of traveling wave solutions of a nonlinear third order system generated by Lie's approach
• Coherent structures of some \((1+1)\)-dimensional nonlinear systems
• Solitary solutions of some nonlinear evolution equations
• On the coherent structures of the Nizhnik-Novikov-Veselov equation
• The Painlevé property for partial differential equations
• Variable separation approach for a differential-difference system: special Toda equation
• Localized excitations of the (2   1)-dimensional sine-Gordon system
• Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
• Variable Separation Approach to Solve Nonlinear Systems

This page was built for publication: New exact solutions with an arbitrary function of two \((1+1)\)-dimensional nonlinear evolution equations