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

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We introduce a Newton’s iterative method to approximate periodic and nonperiodic travelling wave solutions of the Schrodinger-Benjamin-Ono system derived by M. Funakoshi and M. Oikawa. We analyze numerically the influence… Click to show full abstract

We introduce a Newton’s iterative method to approximate periodic and nonperiodic travelling wave solutions of the Schrodinger-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.

Keywords: approximate; wave solutions; travelling wave; benjamin ono; ono system

Journal Title: Advances in Mathematical Physics
Year Published: 2018

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