Interaction properties of solitons for a couple of nonlinear evolution equations

doi:10.1088/1674-1056/abaed3

Abstract We study one-and two-soliton solutions for the Cahn-Allen (CA) equation and the Brethorton equation. The CA equation has broad spectrum of applications especially in anti-phase boundary motion and it is used in phase-field models. While the Brethorton equation is a model for dispersive wave systems, it is used to find the resonant nonlinear interaction among three linear modes. We use the Hirota bilinear method to obtain one-and two-soliton solutions to the CA equation and the Brethorton equation.

Keywords: Hirota bilinear method soliton interaction evolution equations

Received: 15 July 2020
Revised: 08 August 2020
Accepted manuscript online: 13 August 2020

PACS:	05.45.Yv	(Solitons)
	94.05.Fg	(Solitons and solitary waves)

Corresponding Authors: ^†Corresponding author. E-mail: srizvi@cuilahore.edu.pk ^‡Corresponding author. E-mail: younis.pu@gmail.com ^{§Corresponding author. E-mail: bekirahmet@gmail.com}

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Syed Tahir Raza Rizvi, Ishrat Bibi, Muhammad Younis, and Ahmet Bekir Interaction properties of solitons for a couple of nonlinear evolution equations 2021 Chin. Phys. B 30 010502

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