Shock-peakon and shock-compacton solutions for \(K(p,q)\) equation by variational iteration method
From MaRDI portal
Publication:997346
DOI10.1016/j.cam.2006.07.026zbMath1119.65099OpenAlexW1982463713MaRDI QIDQ997346
Publication date: 23 July 2007
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.2006.07.026
numerical examplessolitary wave solutionsvariational iteration method\(K(p,q)\) equationshock-compactonshock-peakon
Shocks and singularities for hyperbolic equations (35L67) 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
New exact explicit peakon and smooth periodic wave solutions of the \(K(3,2)\) equation ⋮ Exact traveling wave solutions of explicit type, implicit type, and parametric type for \(K(m, n)\) equation ⋮ Variational iteration method: New development and applications ⋮ Variational approach to solitons of nonlinear dispersive \(K(m, n)\) equations ⋮ The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method ⋮ AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING ⋮ The use of variational iteration method and Adomian decomposition method to solve the Eikonal equation and its application in the reconstruction problem ⋮ On the Cauchy problem for the generalized shallow water wave equation ⋮ Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem ⋮ Classification of the travelling waves in the nonlinear dispersive KdV equation ⋮ New Miura type transformations between integrable dispersive wave equations ⋮ The variational iteration method for solving a neutral functional-differential equation with proportional delays ⋮ Solution of a model describing biological species living together using the variational iteration method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact special solitary solutions with compact support for the nonlinear dispersive \(K\)(\(m\), \(n\)) equations
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Existence and construction of compacton solutions
- New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations
- Stability of multi-compacton solutions and Bäcklund transformation in \(K(m,n,1)\)
- New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equa\-tion
- Exact solitary-wave solutions with compact support for the modified KdV equation
- New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa--Holm equations
- Variants of the generalized fifth-order KdV equation with compact and noncompact structures
- Nonlinear variants of the BBM equation with compact and noncompact physical structures
- Compactons, solitons and periodic solutions for some forms of nonlinear Klein--Gordon equations
- Construction of solitary solution and compacton-like solution by variational iteration method
- An integrable shallow water equation with peaked solitons
- Compactons: Solitons with finite wavelength
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Variational iteration method for autonomous ordinary differential systems
