Coupled nonlinear waves in two-dimensional lattice

Duan, Wen-Shan; Shi, Yanbiao; ZHANG, L; Lin, Mai-mai; LV, K

doi:10.1016/s0960-0779(04)00346-7

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Equation Of Motion1

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2008

2023

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Cited by 7 publications

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“…In general case, they are two different functions, but in a symmetric case they are the same function after continuum approximation. The basic equations of motion in the x and y directions respectively for this system are [26] −m…”

Section: Equation Of Motionmentioning

confidence: 99%

The interaction of nonlinear waves in two-dimensional lattice

Yang

Duan

et al. 2008

Chinese Phys. B

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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 ξ 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( 3 ) order is given.

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Section: Equation Of Motionmentioning

confidence: 99%