Modified nonlinearly dispersive mK(m, n, k) equations:: I.: New compacton solutions and solitary pattern solutions

被引：33

作者：

Yan, ZY ^{[1
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2003年 / 152卷 / 01期

关键词：

mK; (m; n; k); equation; compacton solution; solitary pattern solution; solitary wave solution; periodic wave solution;

D O I：

10.1016/S0010-4655(02)00794-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper exact solutions of the modified nonlinearly dispersive KdV equations (simply called mK(m, n, k) equations), u(m-1) u(t) + a (u(n))(x) + b(u(k))(xxx) = 0, are investigated by using some direct ansatze. As a result, abundant new compacton solutions: solitons with the absence of infinite wings, solitary pattern solutions having infinite slopes or cups, solitary wave solutions and periodic wave solutions are obtained. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：25 / 33

页数：9

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