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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… Click to show full 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:
brethorton equation;
properties solitons;
interaction;
equation;
solitons couple;
interaction properties
Journal Title: Chinese Physics B
Year Published: 2020
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Journal Title: Chinese Physics B
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!