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2018 Soliton Solutions of the Coupled Schrödinger-Boussinesq Equations for Kerr Law Nonlinearity
Anwar Ja’afar Mohamad Jawad, Mahmood Jawad Abu-AlShaeer
Abstr. Appl. Anal. 2018: 1-8 (2018). DOI: 10.1155/2018/8325919

Abstract

In this paper, the coupled Schrödinger-Boussinesq equations (SBE) will be solved by the sech, tanh, csch, and the modified simplest equation method (MSEM). We obtain exact solutions of the nonlinear for bright, dark, and singular 1-soliton solution. Kerr law nonlinearity media are studied. Results have proven that modified simple equation method does not produce the soliton solution in general case. Solutions may find practical applications and will be important for the conservation laws for dispersive optical solitons.

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Anwar Ja’afar Mohamad Jawad. Mahmood Jawad Abu-AlShaeer. "Soliton Solutions of the Coupled Schrödinger-Boussinesq Equations for Kerr Law Nonlinearity." Abstr. Appl. Anal. 2018 1 - 8, 2018. https://doi.org/10.1155/2018/8325919

Information

Received: 8 September 2017; Accepted: 26 October 2017; Published: 2018
First available in Project Euclid: 14 February 2018

zbMATH: 06929594
Digital Object Identifier: 10.1155/2018/8325919

Rights: Copyright © 2018 Hindawi

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