Nonlinear interactions of solitary waves in a 2D lattice

被引：21

作者：

Potapov, AI

Pavlov, IS

Gorshkov, KA

Maugin, GA

机构：

[1] Russian Acad Sci, Inst Engn Mech, Nizhnii Novgorod 603024, Russia

[2] Russian Acad Sci, Inst Appl Phys, Nizhnii Novgorod 603600, Russia

[3] Univ Paris 06, CNRS UMR 7607, Modelisat Mecan Lab, F-75252 Paris, France

来源：

WAVE MOTION | 2001年 / 34卷 / 01期

关键词：

D O I：

10.1016/S0165-2125(01)00061-0

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

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. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：83 / 95

页数：13

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