Wave propagation through a 2D lattice

被引：11

作者：

Sreelatha, KS ^{[1
]}

Joseph, KB ^{[1
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Phys, Cochin 682022, Kerala, India

来源：

CHAOS SOLITONS & FRACTALS | 2000年 / 11卷 / 05期

关键词：

Computational geometry - Integration - Nonlinear equations - Perturbation techniques - Solitons;

D O I：

10.1016/S0960-0779(98)00175-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonlinear wave propagation through a 2D lattice is investigated. Using reductive perturbation method, we show that this can be described by Kadomtsev-Petviashvili (KP) equation for quadratic nonlinearity and modified KP equation for cubic nonlinearity, respectively. With quadratic and cubic nonlinearities together, the system is governed by an integro-differential equation. We have also checked the integrability of these equations using singularity analysis and obtained solitary wave solutions. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

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页码：711 / 719

页数：9

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