Construction of solitary solutions for nonlinear dispersive equations by variational iteration method

DOI10.1016/j.physleta.2008.01.089zbMath1220.35143OpenAlexW1988251003MaRDI QIDQ637953

Zaid M. Odibat

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.01.089

zbMATH Keywords

Boussinesq equationKlein-Gordon equationnonlinear dispersionRLW equationKdV equationvariational iteration methodsolitary solution

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items

Couple of the variational iteration method and Legendre wavelets for nonlinear partial differential equations ⋮ Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations ⋮ A study on the convergence of variational iteration method ⋮ He's variational iteration method for treating nonlinear singular boundary value problems ⋮ Asymptotic methods for solitary solutions and compactons ⋮ Solitary wave solutions of some nonlinear physical models using Riccati equation approach ⋮ The compound \(\left(\frac{G'}{G}\right)\)-expansion method and double non-traveling wave solutions of \((2+1)\)-dimensional nonlinear partial differential equations ⋮ A Riccati equation approach and travelling wave solutions for nonlinear evolution equations ⋮ Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative

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