1-soliton solution of the equation with generalized evolution
From MaRDI portal
Publication:717950
DOI10.1016/J.CNSNS.2008.12.025zbMath1221.35305OpenAlexW1551880115MaRDI QIDQ717950
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.12.025
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)
Related Items (33)
Solitary waves for power-law regularized long-wave equation and \(R(m,n)\) equation ⋮ Traveling wave solutions for nonlinear dispersive water-wave systems with time-dependent coefficients ⋮ Soliton solutions of the Klein-Gordon-Zakharov equations with power law nonlinearity ⋮ Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods ⋮ A NEW (3+1)-DIMENSIONAL KDV EQUATION AND MKDV EQUATION WITH THEIR CORRESPONDING FRACTIONAL FORMS ⋮ A study on KdV and Gardner equations with time-dependent coefficients and forcing terms ⋮ A variety of exact travelling wave solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation ⋮ Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation ⋮ Solitary waves for the perturbed nonlinear Klein-Gordon equation ⋮ Dark soliton and periodic wave solutions of nonlinear evolution equations ⋮ A one-soliton solution of the \(ZK(m,n,k)\) equation with generalized evolution and time-dependent coefficients ⋮ Exact solutions of four generalized Benjamin-Bona-Mahony equations with any order ⋮ Hyperbolic and trigonometric solutions for some nonlinear evolution equations ⋮ Bright and dark soliton solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ Dark solitons for a generalized nonlinear Schrödinger equation with parabolic law and dual-power law nonlinearities ⋮ SOLITON SOLUTIONS FOR SEVENTH-ORDER KAWAHARA EQUATION WITH TIME-DEPENDENT COEFFICIENTS ⋮ Exact solutions of the generalized sinh-Gordon equation ⋮ Solitary wave solutions and periodic wave solutions of the \(B(m,n)\) equation with generalized evolution term ⋮ Dark solitons for a combined potential KdV and Schwarzian KdV equations with \(t\)-dependent coefficients and forcing term ⋮ Soliton solutions of a \(\text{BBM}(m,n)\) equation with generalized evolution ⋮ A rational generalization of Fan's method and its application to generalized shallow water wave equations ⋮ Bright soliton solution to a generalized Burgers-KdV equation with time-dependent coefficients ⋮ One and two soliton solutions for the sinh-Gordon equation in (1+1), (2+1) and (3+1) dimensions ⋮ Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis ⋮ Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients ⋮ Analysis of non-linear Klein-Gordon equations using Lie symmetry ⋮ Dynamics of solitary waves of the Rosenau-RLW equation ⋮ Exact analytical solutions for 3D-Gross-Pitaevskii equation with periodic potential by using the Kudryashov method ⋮ Topological and non-topological solitons of the generalized Klein-Gordon equations ⋮ Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves ⋮ A repository of equations with cosine/sine compactons ⋮ Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
- The formally variable separation approach for the modified Zakharov--Kuznetsov equation
- Raman like perturbation on an optical pulse propagation-a different outlook
- Travelling wave solutions for a second order wave equation of KdV type
- Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation
- New exact special solutions with solitary patterns for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion
- Higher-order KdV-type equations and their stability
This page was built for publication: 1-soliton solution of the equation with generalized evolution
