Existence of periodic travelling wave solutions for a regularized Benjamin-Ono system

[摘要] In this paper, we discuss the existence of periodic travelling wave solutions of a regularized Benjamin Ono system by using the topological-degree theory of positive operators on Banach spaces. Furthermore, we use a high-accuracy pseudospectral solver based on a Fourier decomposition to construct numerical approximations of these stationary solutions. The numerical simulations are in perfect agreement with the theoretical results. (C) 2015 Elsevier Inc. All rights reserved.

[发布日期] 2015-12-15

[关键词] Regularized BO equation;Internal waves;Periodic travelling wave solutions;Pseudospectral methods