Higher-order integrable evolution equation and its soliton solutions

被引：153
|
作者：
Ankiewicz, Adrian [1 ]
Akhmediev, Nail [1 ]
机构：
[1] Australian Natl Univ, Res Sch Phys & Engn, Opt Sci Grp, Canberra, ACT 0200, Australia
来源：
PHYSICS LETTERS A | 2014年 / 378卷 / 04期
基金：
澳大利亚研究理事会;
关键词：
OPTICAL-FIBERS; MODULATION; DISPERSION; WAVES;
D O I：
10.1016/j.physleta.2013.11.031
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider an extended nonlinear Schrodinger equation with higher-order odd and even terms with independent variable coefficients. We demonstrate its integrability, provide its Lax pair, and, applying the Darboux transformation, present its first and second order soliton solutions. The equation and its solutions have two free parameters. Setting one of these parameters to zero admits two limiting cases: the Hirota equation on the one hand and the Lakshmanan-Porsezian-Daniel (LPD) equation on the other hand. When both parameters are zero, the limit is the nonlinear Schrodinger equation. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：358 / 361
页数：4
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