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, issue 1

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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https://doi.org/10.1155/2018/3586514

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:3586514

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