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Chin. Phys. B, 2008, Vol. 17(8): 2989-2993    DOI: 10.1088/1674-1056/17/8/038
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The interaction of nonlinear waves in two-dimensional lattice

Yang Xiao-Xia(杨晓霞), Duan Wen-Shan(段文山), Li Sheng-Chang(栗生长), and Han Jiu-Ning(韩久宁)
College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
Abstract  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 $\xi$ and $\eta$ directions, respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of $u(v)$ up to $O(\epsilon^{3})$ order is given.
Keywords:  nonlinear waves      two-dimensional nonlinear lattice      phase shift  
Received:  28 October 2007      Revised:  27 November 2007      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  05.50.+q (Lattice theory and statistics)  
Fund: 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).

Cite this article: 

Yang Xiao-Xia(杨晓霞), Duan Wen-Shan(段文山), Li Sheng-Chang(栗生长), and Han Jiu-Ning(韩久宁) The interaction of nonlinear waves in two-dimensional lattice 2008 Chin. Phys. B 17 2989

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