A trigonometric integrator pseudospectral discretization for the N-coupled nonlinear Klein–Gordon equations

A scheme, stemming from the use of pseudospectral approximations to spatial derivatives followed by a time integrator based on trigonometric polynomials, is proposed for the numerical solutions of the N-coupled nonlinear Klein–Gordon equations. Numerical tests on one- and three-coupled Klein–Gordon equations are presented, which are geared towards understanding the accuracy and stability, and illustrating its efficiency and high resolution capacity in applications.

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