Envelope compactons and solitary patterns

被引：60

作者：

Yan, Zhenya

机构：

[1] CCAST, World Lab, Beijing 100080, Peoples R China

[2] Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

PHYSICS LETTERS A | 2006年 / 355卷 / 03期

基金：

中国国家自然科学基金;

关键词：

NLS(m; n); equation; envelope compactons; envelope solitary patterns; conservation laws;

D O I：

10.1016/j.physleta.2006.02.032

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, to understand the role of nonlinear dispersion in complex nonlinear wave equations, we introduce and study nonlinear Schrodinger equation with nonlinear dispersion (called NLS(m, n) equation): iu(i) + (u vertical bar u vertical bar(n-1))(xx) + mu mu vertical bar mu vertical bar(m-1) = 0. As a consequence, we obtain some envelope compactons for NLS+(n, n) equation and envelope solitary patterns for NLS-(n,n) equation. Moreover, we also show that NLS(m,1) equation, which is nonlinear wave equation with linear dispersion possess both envelope compactons and solitary patterns. Finally, some unusually local conservation laws are given for NLS+(n, n) equation and NLS-(n, n) equation, respectively. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：212 / 215

页数：4

共 14 条

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