New explicit solutions of the fifth-order KdV equation with variable coefficients

zbMath1295.22028MaRDI QIDQ400788

Tian-Zhou Xu, Gang-Wei Wang, Xi-Qiang Liu

Publication date: 25 August 2014

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/BMMSS/vol37_3_14.html

zbMATH Keywords

symmetryexact solutionsfifth-order KdV equationmodified CK's direct methodpower series method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (10)

Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE ⋮ Explicit solutions and conservation laws of the logarithmic-KP equation ⋮ Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation ⋮ Dispersive wave propagation of the nonlinear Sasa-Satsuma dynamical system with computational and analytical soliton solutions ⋮ Equivalent transformation and integrability of the nonlinear Schrödinger equations with time-dependent coefficients ⋮ Unnamed Item ⋮ Improved equivalent transformation method for reduction NLPDEs with time-dependent variables ⋮ CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations ⋮ Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation ⋮ Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation

This page was built for publication: New explicit solutions of the fifth-order KdV equation with variable coefficients