Interaction properties of solitons for a couple of nonlinear evolution equations

• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 208-214
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/abaed3

摘要

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.