A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models
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摘要
A numerical method for simulating periodic travelling-wave solutions of some nonlinear dispersive wave equations is proposed. The construction of the scheme is based on an efficient computation of the elements that characterize these solutions: the initial profile and the velocity of the wave.
论文关键词：65M20,65M99,35Q53,76B25,Periodic travelling waves,Petviashvili’s method,Conserved quantities,Conservative numerical methods,Projection methods
论文评审过程：Received 1 July 2010, Revised 14 July 2010, Available online 24 July 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.07.015
