Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems
作者:
Highlights:
• We propose a method to compute periodic traveling waves.
• The method can be applied to some nonlinear dispersive systems.
• It is checked in fractional KdV equations and Boussinesq systems.
摘要
•We propose a method to compute periodic traveling waves.•The method can be applied to some nonlinear dispersive systems.•It is checked in fractional KdV equations and Boussinesq systems.
论文关键词:65H10,65M99,35C99,35C07,76B25,Nonlinear dispersive equations,Periodic traveling waves,Iterative methods for nonlinear systems,Petviashvili type methods,Fractional KdV equation,e-Boussinesq system
论文评审过程:Received 5 November 2015, Revised 26 July 2016, Available online 5 September 2016, Version of Record 22 December 2016.
论文官网地址:https://doi.org/10.1016/j.cam.2016.08.037