Exact travelling wave solutions to seventh-order and ninth-order KdV-like equations
DOI10.1016/J.AMC.2006.04.040zbMath1107.65093OpenAlexW1994816506MaRDI QIDQ861174
Publication date: 9 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.040
solitonsnonlinear evolution equationstravelling wave solutionsKorteweg-de Vries (KdV) equationseventh-order KdV equationhyperbolic functions ansatze
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Analytic study on the generalized fifth-order KdV equation: new solitons and periodic solutions
- Structural stability of the Korteweg-de Vries solitons under a singular perturbation
- Compactons and solitary patterns structures for variants of the KdV and the KP equations
- A study on compacton-like solutions for the modified KdV and fifth order KdV-like equations.
- The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations.
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher dimensional spaces
- An analytic study of compactons structures in a class of nonlinear dispersive equations
- The tanh method for traveling wave solutions of nonlinear equations
- Travelling solitary wave solutions to a seventh-order generalized KdV equation
- New solitons and kink solutions for the Gardner equation
- New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms
- The Modified Korteweg-de Vries Equation
- Solitary wave solutions of nonlinear wave equations
- Model equations for long waves in nonlinear dispersive systems
- Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA
- New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations
This page was built for publication: Exact travelling wave solutions to seventh-order and ninth-order KdV-like equations