Classification of the travelling waves in the nonlinear dispersive KdV equation
From MaRDI portal
Publication:975846
DOI10.1016/j.na.2010.03.039zbMath1209.34038OpenAlexW2094330920MaRDI QIDQ975846
Publication date: 11 June 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.03.039
KdV equations (Korteweg-de Vries equations) (35Q53) Explicit solutions, first integrals of ordinary differential equations (34A05) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items
Special exact soliton solutions for the \(K(2, 2)\) equation with non-zero constant pedestal ⋮ Existence of exotic waves for the nonlinear dispersive mKdV equation
Cites Work
- Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
- Exact and analytical solution for nonlinear dispersive \(K(m,p)\) equations using homotopy perturbation method
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
- Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
- Exp-function method for nonlinear wave equations
- Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations
- Shock-peakon and shock-compacton solutions for \(K(p,q)\) equation by variational iteration method
- A \((3+1)\)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions
- New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equa\-tion
- Periodic cusp wave solutions and single-solitons for the \(b\)-equation
- On exact travelling wave solutions for two types of nonlinear \(K(n,n)\) equations and a generalized KP equation
- Traveling wave solutions of the Camassa-Holm equation
- Compactons: Solitons with finite wavelength
- Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations
- New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations
- Unnamed Item
- Unnamed Item
- Unnamed Item