A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients

被引：7
|
作者：
Li, B [1 ]
Chen, Y
机构：
[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
[2] Ningbo Univ, Nonlinear Sci Ctr, Ningbo 315211, Peoples R China
[3] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2005年 / 60卷 / 11-12期
关键词：
truncated Painleve expansion; backlund transformation; symbolic computation; nonlinear Schrodinger equation; solitons;
D O I：
10.1515/zna-2005-11-1202
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
By using the truncated Painleve expansion analysis an auto-Backlund transformation is found for the nonlinear Schrodinger equation with varying dispersion, nonlinearity, and gain or absorption. Then, based on the obtained auto-Backlund transformation and symbolic computation, we explore some explicit exact solutions including soliton-like solutions, singular soliton-like solutions, which may be useful to explain the corresponding physical phenomena. Further, the formation and interaction of solitons are simulated by computer.
引用
收藏
页码：768 / 774
页数：7
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