New explicit solutions of the Klein-Gordon equation using the variational iteration method combined with the Exp-function method

DOI10.1016/j.camwa.2009.03.029zbMath1189.65262OpenAlexW1966604169MaRDI QIDQ979777

Jia-Min Zhu, Tong-Ming Wang

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.029

zbMATH Keywords

nonlinear systemsKlein-Gordon equationExp-function method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Traveling wave solutions (35C07) Soliton solutions (35C08)

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Cites Work

• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Exp-function method for nonlinear wave equations
• Homotopy perturbation method for bifurcation of nonlinear problems
• The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations
• New exact solutions to the (2 + 1)-dimensional Broer-Kaup equation
• Application of homotopy perturbation method to nonlinear wave equations
• Construction of solitary solution and compacton-like solution by variational iteration method