Numerical Analysis and Approximate Travelling Wave Solutions for a Higher Order Internal Wave System

Authors

DOI:

https://doi.org/10.5540/tcam.2022.023.01.00079

Keywords:

Spectral method, Dispersive models, Stability analysis, Travelling waves

Abstract

In this work we focus on the numerical solution of a higher order bidirectional nonlinear model of Boussinesq type involving a nonlocal operator. Based on a von Neumann stability analysis for the linearized problem, an efficient and stable scheme for the nonlinear system is proposed. Our method is based on a numerical scheme known from the literature that solves satisfactorily a lower order linear system. Additionally, approximate periodic travelling wave solutions profiles for the higher order nonlinear system are presented. Such approximate travelling wave solutions are obtained from a solitary wave family of solutions for the Intermediate Long Wave (ILW) equation and the regularized Intermediate Long Wave (rILW) equation.

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Published

2022-03-25

How to Cite

Lesinhovski, W. C., & Ruiz de Zárate, A. (2022). Numerical Analysis and Approximate Travelling Wave Solutions for a Higher Order Internal Wave System. Trends in Computational and Applied Mathematics, 23(1), 79–100. https://doi.org/10.5540/tcam.2022.023.01.00079

Issue

Vol. 23 No. 1 (2022)

Section

Original Article

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