The interaction of nonlinear waves in two-dimensional lattice  

作　　者：杨晓霞 段文山 栗生长 韩久宁 

机构地区：[1]College of Physics and Electronics Engineering, Northwest Normal University

出　　处：《Chinese Physics B》2008年第8期2989-2993,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China under (Grant Nos 10575082 and 10247008);the Scientific Research Foundation (SRF) for the Returned Overseas Chinese Scholars (ROCF), State Education Ministry (SEM)

摘　　要：This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincarge-Lighthill-Kuo perturbation method, it obtains two Korteweg-de Vries equations for nonlinear waves in both the ζ and η directions, respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of u（υ） up to O（ε^3） order is given.This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincarge-Lighthill-Kuo perturbation method, it obtains two Korteweg-de Vries equations for nonlinear waves in both the ζ and η directions, respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of u（υ） up to O（ε^3） order is given.

关 键 词：nonlinear waves two-dimensional nonlinear lattice phase shift 

分 类 号：O415[理学—理论物理]