Localized and periodic wave patterns for a nonic nonlinear Schrodinger equation

被引：22
|
作者：
Chow, Kwok W. [1 ]
Rogers, Colin [2 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Pokfulam, Hong Kong, Peoples R China
[2] Univ New S Wales, Sch Math & Stat, Australian Res Council, Ctr Excellence Math & Stat Complex Syst, Sydney, NSW 2052, Australia
来源：
PHYSICS LETTERS A | 2013年 / 377卷 / 38期
关键词：
Nonlinear Schrodinger equations; Ninth order nonlinearity; POWER-LAW NONLINEARITY; ERMAKOV SYSTEMS; SOLITONS; SUPERPOSITION; MEDIA;
D O I：
10.1016/j.physleta.2013.07.041
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Propagating modes in a class of 'nonic' derivative nonlinear Schrodinger equations incorporating ninth order nonlinearity are investigated by application of two key invariants of motion. A nonlinear equation for the squared wave amplitude is derived thereby which allows the exact representation of periodic patterns as well as localized bright and dark pulses in terms of elliptic and their classical hyperbolic limits. These modes represent a balance among cubic, quintic and nonic nonlinearities. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：2546 / 2550
页数：5
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