A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models

作者：Alvarez J; Duran A^*

来源：Journal of Computational and Applied Mathematics, 2011, 235(7): 1790-1797.

DOI：10.1016/j.cam.2010.07.015

• Periodic travelling waves
• Petviashvili's method
• Conserved quantities
• Conservative numerical methods
• Projection methods

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.

• 出版日期2011-2-1