The sine-Gordon-equation with perturbation terms of power Jacobian elliptic functions

DOI10.1016/J.AMC.2009.09.026zbMath1180.35460OpenAlexW2026738907MaRDI QIDQ1049287

Alfred Huber

Publication date: 8 January 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.026

zbMATH Keywords

nonlinear partial differential equationsJacobian-Gordon-equationssine-Gordon-equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Perturbations in context of PDEs (35B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of sine-Gordon equation by variational iteration method
• A note on a class of solitary-like solutions of the Tzitzéica equation generated by a similarity reduction
• A note on new solitary and similarity class of solutions of a fourth-order non-linear evolution equation
• Exact solutions to sine-Gordon-type equations
• The Cavalcante-Tenenblat equation - Does the equation admits physical significance?
• Solutions of the three-dimensional sine-Gordon equation
• Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
• Mixing exponential and double sine-Gordon equation
• The modified decomposition method for analytic treatment of differential equations
• Homotopy analysis method for the sine-Gordon equation with initial conditions
• A higher dimension generalization of the Sine-Gordon equation and its Bäcklund transformation
• A general approach to linear and non-linear dispersive waves using a Lagrangian
• Non-linear dispersion of water waves

This page was built for publication: The sine-Gordon-equation with perturbation terms of power Jacobian elliptic functions