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Nonlinear interactions of solitary waves in a 2D lattice

✍ Scribed by A.I. Potapov; I.S. Pavlov; K.A. Gorshkov; G.A. Maugin

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
226 KB
Volume
34
Category
Article
ISSN
0165-2125

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✦ Synopsis

Oscillations of a two-dimensional square lattice are considered. Interactions between the neighbouring particles in a basis plane only are taken into account. In the paraxial approximation of the diffraction theory, the Kadomtsev-Petviashvili (KP) evolution equation has been derived for quasiplane waves. Collisions of some two-dimensional solitons and behaviour of multiwave ensembles of solitary waves are considered in the framework of exact and approximate solutions of this equation.

πŸ“œ SIMILAR VOLUMES

Solitary wave in a nonlinear elastic str
Solitary wave in a nonlinear elastic structural element of large deflection
✍ Qiang Han; Liming Dai; Mingzhe Dong πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 302 KB

General form nonlinear governing equations for the wave traveling in a nonlinear elastic structural element of large deflection are derived in the present research. An asymptotic solution of solitary wave in the elastic element is derived and investigated by means of a modified complete approximate