Soliton solutions for the fifth-order KdV equation and the Kawahara equation with time-dependent coefficients

DOI10.1088/0031-8949/82/03/035009zbMath1200.35275OpenAlexW2066185398MaRDI QIDQ3162754

Abdul-Majid Wazwaz

Publication date: 21 October 2010

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0031-8949/82/03/035009

zbMATH Keywords

KdV equationsoliton solutionsKawahara equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items

Kawahara solitons in Boussinesq equations using a robust Christov-Galerkin spectral method ⋮ \textit{PDEBellII}: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations ⋮ Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie's fractional derivative ⋮ Frobenius integrable decompositions of nonlinear evolution equations with modified term ⋮ Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation ⋮ Analysis of the fractional Kawahara equation using an implicit fully discrete local discontinuous Galerkin method