On the numerical solution of the sine-Gordon equation. I: integrable discretizations and homoclinic manifolds

Discrete singular convolution-finite subdomain method for the solution of incompressible viscous flows

Journal of Computational Physics

A numerical solution of the sine-Gordon equation using the modified decomposition method

Applied Mathematics and Computation

Local spectral time splitting method for first- and second-order partial differential equations

Journal of Computational Physics

Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme

Mathematics and Computers in Simulation

The variable separated ODE method for travelling wave solutions for the Boussinesq-double sine-Gordon and the Boussinesq-double sinh-Gordon equations

Mathematics and Computers in Simulation

Benjamin-Feir type instability of Sine-Gordon equation and spectrum of Lamé equation

Journal of Computational and Applied Mathematics

A fourth order numerical scheme for the one-dimensional sine-Gordon equation

International Journal of Computer Mathematics

An analytical approach to the sine-Gordon equation using the modified homotopy perturbation method

Computers & Mathematics with Applications

Exact solutions to the double sinh-gordon equation by the tanh method and a variable separated ODE method

Computers & Mathematics with Applications

Tension spline solution of nonlinear sine-Gordon equation

Numerical Algorithms

High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods

Mathematical and Computer Modelling: An International Journal

Poisson integrators

Mathematical and Computer Modelling: An International Journal