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

作者：Dong Xuanchun^*

来源：Numerical Algorithms, 2013, 62(2): 325-336.

DOI：10.1007/s11075-012-9586-6

• Coupled Klein-Gordon equations
• Pseudospectral method
• Trigonometric integrator
• Soliton-soliton collision

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.

• 出版日期2013-2