TY - JOUR
T1 - An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrödinger equation model
AU - Chen, Yong
AU - Li, Biao
PY - 2008/6
Y1 - 2008/6
N2 - To construct exact analytical solutions of nonlinear evolution equations, an extended subequation rational expansion method is presented and used to construct solutions of the nonlinear Schrödinger equation with varing dispersion, nonlinearity, and gain or absorption. As a result, many previous known results of the nonlinear Schrödinger equation can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. With computer simulation, the properties of a new non-travelling wave soliton-like solutions with coefficient functions and some elliptic function solutions are shown by some figures.
AB - To construct exact analytical solutions of nonlinear evolution equations, an extended subequation rational expansion method is presented and used to construct solutions of the nonlinear Schrödinger equation with varing dispersion, nonlinearity, and gain or absorption. As a result, many previous known results of the nonlinear Schrödinger equation can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. With computer simulation, the properties of a new non-travelling wave soliton-like solutions with coefficient functions and some elliptic function solutions are shown by some figures.
KW - Like-periodic function solution
KW - Like-solitons
KW - Schrödinger equation
KW - Subequation rational expansion method
UR - https://www.scopus.com/pages/publications/40949140530
U2 - 10.1016/j.nahs.2006.04.008
DO - 10.1016/j.nahs.2006.04.008
M3 - 文章
AN - SCOPUS:40949140530
SN - 1751-570X
VL - 2
SP - 242
EP - 255
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
IS - 2
ER -