TOPOLOGICAL AND NON-TOPOLOGICAL SOLITON SOLUTIONS OF THE BRETHERTON EQUATION

Articles > Article ยท 2012

Authors: Houria TRIKI, Ahmet YILDIRIM, T. HAYAT, Omar M. ALDOSSAR, Anjan BISWAS

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, Journal Indexed in SCI Expanded, International, 2012, vol 13, pp 103-108

Summary

This paper studies the topological and non-topological 1-soliton solutions to the Bretherton equation. The solitary wave ansatz method, also known as the trial solution method, is used to carry out the integration of the this equation. The 1-soliton solution as well as the shock wave solution is retrieved using this method. The constraint relation between the parameters and coefficients are also obtained for the existence of these kinds of nonlinear waves.

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