Interaction properties of solitons for a couple of nonlinear evolution equations. (January 2021)

• Record Type: Journal Article
• Authors: Raza Rizvi, Syed Tahir; Bibi, Ishrat; Younis, Muhammad; Bekir, Ahmet
• Is Part Of: Chinese physics B. Volume 30:Number 1(2021)
• Publication Date: 2021-01
• Subjects: Hirota bilinear method -- soliton interaction -- evolution equations; 05.45.Yv -- 94.05.Fg; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1674-1056/abaed3
• Languages: English
• ISSNs: 1674-1056

Abstract

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.