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A Newton-type approach to approximate travelling wave solutions of a Schrödinger-Benjamin-Ono system - MaRDI portal

A Newton-type approach to approximate travelling wave solutions of a Schrödinger-Benjamin-Ono system (Q1629191)

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scientific article; zbMATH DE number 6991950
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A Newton-type approach to approximate travelling wave solutions of a Schrödinger-Benjamin-Ono system
scientific article; zbMATH DE number 6991950

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    A Newton-type approach to approximate travelling wave solutions of a Schrödinger-Benjamin-Ono system (English)
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    11 December 2018
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    Summary: 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.
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    collision of two unequal-amplitude solitary waves
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