On exact travelling wave solutions for two types of nonlinear \(K(n,n)\) equations and a generalized KP equation
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Publication:2468134
DOI10.1016/j.cam.2006.12.008zbMath1187.35216OpenAlexW2000007471MaRDI QIDQ2468134
Shaoyong Lai, Benchawan Wiwatanapataphee, Yong-Hong Wu
Publication date: 30 January 2008
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2006.12.008
KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51)
Related Items (11)
Soliton solutions of the coupled Schrödinger-Boussinesq equations for Kerr law nonlinearity ⋮ The physical structures of solutions for generalized \(K(n,n)\) and \(BBM\) equations with variable coefficients ⋮ Soliton-type solutions for two models in mathematical physics ⋮ Compact and non compact structures of the phi-four equation ⋮ A simple approach for reducing the order of equations with higher order nonlinearity ⋮ Existence of exotic waves for the nonlinear dispersive mKdV equation ⋮ Classification of the travelling waves in the nonlinear dispersive KdV equation ⋮ The study of the solution to a generalized KdV-mKdV equation ⋮ The investigation of solutions to the coupled Schrödinger-Boussinesq equations ⋮ Linear B-spline finite element method for the improved Boussinesq equation ⋮ Some special structures for the generalized nonlinear Schrödinger equation with nonlinear dispersion
Cites Work
- Galerkin method for the numerical solution of the RLW equation using quintic B-splines
- Compact and noncompact dispersive patterns
- A numerical study of compactons
- Existence and construction of compacton solutions
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- On a class of nonlinear dispersive-dissipative interactions
- Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
- Method of lines study of nonlinear dispersive waves
- On nonanalytic solitary waves formed by a nonlinear dispersion.
- Variants of the two-dimensional Boussinesq equation with compactons, solitons, and periodic solutions
- An approximation of the analytic solution of the shock wave equation
- Nonlinear Dispersion and Compact Structures
- Compactons: Solitons with finite wavelength
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
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