Painleve analysis and symbolic computation for a nonlinear Schrodinger equation with dissipative perturbations

被引：0

作者：

Bo, T

Gao, YT

机构：

[1] LANZHOU UNIV,DEPT COMP SCI,LANZHOU 730000,PEOPLES R CHINA

[2] LANZHOU UNIV,INST SCI & ENGN COMPUTAT,LANZHOU 730000,PEOPLES R CHINA

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 1996年 / 51卷 / 03期

关键词：

nonlinear Schrodinger equation with dissipative perturbations; symbolic computation; Painleve analysis; Backlund transformation; mathematical method in physics;

D O I：

暂无

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：

The nonlinear Schrodinger equations with small dissipative perturbations are of current importance in modeling weakly nonlinear dispersive media with dissipation. In this paper, the Painleve formulation with symbolic computation is presented for one of those equations. An auto-Backlund transformation and some exact solutions are explicitly constructed.

引用

页码：167 / 170

页数：4

共 10 条

[1] ADIABATIC INVARIANTS THEORY OF NEAR-INTEGRABLE SYSTEMS WITH DAMPING [J].