Exact special solutions to the nonlinear dispersive \(K(2,2,1)\) and \(K(3,3,1)\) equations by He's variational iteration method
From MaRDI portal
Publication:939425
DOI10.1016/j.na.2007.05.046zbMath1159.35413OpenAlexW4245958682MaRDI QIDQ939425
Publication date: 22 August 2008
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.2007.05.046
KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Series solutions to PDEs (35C10)
Related Items
Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie's fractional derivative, A meshless method for solving mKdV equation, Finding the optimal control of linear systems via He's variational iteration method, Application of He's variational iteration method to solve semidifferential equations of \(n\)th order, Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique, An effective modification of He's variational iteration method, EXACT SOLITARY-WAVE SOLUTIONS FOR THE NONLINEAR DISPERSIVE K(2,2,1) and K(3,3,1) EQUATIONS BY THE HOMOTOPY PERTURBATION METHOD
Cites Work
- Unnamed Item
- Unnamed Item
- Variational iteration method for solving Burgers and coupled Burgers equations
- Solution of problems in calculus of variations via He's variational iteration method
- Application of He's variational iteration method to Helmholtz equation
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- An approximate solitary wave solution with compact support for the modified KdV equation
- Variational iteration method -- some recent results and new interpretations
- Variational iteration method for delay differential equations
- Variational approach to the Thomas-Fermi equation
- Variational approach to the sixth-order boundary value problems
- The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system.
- Variational principles for some nonlinear partial differential equations with variable coefficients
- Application of variational iteration method to nonlinear differential equations of fractional order
- Variants of the generalized fifth-order KdV equation with compact and noncompact structures
- New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
- Exact solutions for a compound KdV-Burgers equation
- Variational approach to \((2+1)\)-dimensional dispersive long water equations
- He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation
- New exact solitary-wave solutions for the \(K(2, 2, 1)\) and \(K(3, 3, 1)\) equations
- Construction of solitary solution and compacton-like solution by variational iteration method
- New applications of variational iteration method
- Solitary wave solutions of nonlinear wave equations
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- Compactons: Solitons with finite wavelength
- A study for obtaining more solitary pattern solutions of fifth-order KdV-like equations
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- A Perturbation Method for Treating Nonlinear Oscillation Problems
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
- An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations
- A new approach to nonlinear partial differential equations
- Variational iteration method for autonomous ordinary differential systems
- New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
- Particle methods for dispersive equations