A Newton-Type Approach to Approximate Travelling Wave Solutions of a Schrödinger-Benjamin-Ono System

Juan Carlos Muñoz Grajales

Advances in Mathematical Physics, 2018, vol. 2018, 1-17

Abstract:

We introduce a Newton’s iterative method to approximate periodic and nonperiodic travelling wave solutions of the Schrödinger-Benjamin-Ono system derived by M. Funakoshi and M. Oikawa. We analyze numerically the influence of the model’s parameters on these solutions and illustrate the collision of two unequal-amplitude solitary waves propagating with different speeds computed by using the proposed numerical scheme.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3586514

DOI: 10.1155/2018/3586514

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