The interaction of nonlinear waves in two-dimensional lattice

• 来源期刊: 中国物理B(英文版)
• 关键词: nonlinear waves two-dimensional nonlinear lattice phase shift
• 年，卷（期）: 2008,（8）
• 页码范围: 2989-2993
• 页数: 5页
• 语种: 英文

摘要

This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincaré-Lighthill-Kuo perturbation method, it obtains two Korteweg-de Vries equations for nonlinear waves in both the ε and η directions,respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of u(v) up to O(ε3) order is given.