Interaction properties of solitons for a couple of nonlinear evolution equations

doi:10.1088/1674-1056/abaed3

中国物理B ›› 2021, Vol. 30 ›› Issue (1): 10502-.doi: 10.1088/1674-1056/abaed3

收稿日期:2020-07-15 修回日期:2020-08-08 接受日期:2020-08-13 出版日期:2020-12-17 发布日期:2021-01-13

Interaction properties of solitons for a couple of nonlinear evolution equations

Syed Tahir Raza Rizvi^1,†, Ishrat Bibi¹, Muhammad Younis^2,‡, and Ahmet Bekir^3,§

1 Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan; 2 Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan; 3 Neighbourhood of Akcaglan, Imarli Street Number 28/4, 26030, Eskisehir, Turkey

Received:2020-07-15 Revised:2020-08-08 Accepted:2020-08-13 Online:2020-12-17 Published:2021-01-13
Contact: ^†Corresponding author. E-mail: srizvi@cuilahore.edu.pk ^‡Corresponding author. E-mail: younis.pu@gmail.com ^{§Corresponding author. E-mail: bekirahmet@gmail.com}

摘要/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.

Key words: Hirota bilinear method, soliton interaction, evolution equations

中图分类号: (Solitons)

05.45.Yv

94.05.Fg (Solitons and solitary waves)

. [J]. 中国物理B, 2021, 30(1): 10502-.

Syed Tahir Raza Rizvi, Ishrat Bibi, Muhammad Younis, and Ahmet Bekir. Interaction properties of solitons for a couple of nonlinear evolution equations[J]. Chin. Phys. B, 2021, 30(1): 10502-.

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Interaction properties of solitons for a couple of nonlinear evolution equations

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