Modulational instability and exact solutions for a three-component system of vector nonlinear Schrödinger equations

Emmanuel Yomba, George R Sell

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3 Scopus citations

Abstract

The modulational instability (MI) of the three-component system of vector nonlinear Schrödinger equations is investigated. It is found that there are a number of possibilities for the MI regions due to the generalized nonlinear dispersion relation, which relates the frequency and the wave number of modulating perturbations. Some classes of exact traveling wave solutions are obtained. Under some special parameter values, some representative wave structures are graphically displayed. These solutions are obtained by the use of F-expansion method.

Original languageEnglish (US)
Article number053518
JournalJournal of Mathematical Physics
Volume50
Issue number5
DOIs
StatePublished - 2009

Bibliographical note

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Copyright 2018 Elsevier B.V., All rights reserved.

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