TY - GEN
T1 - Exact analytical solutions to the nonlinear schrödinger equation model
AU - Li, Biao
AU - Chen, Yong
AU - Wang, Qi
PY - 2005
Y1 - 2005
N2 - A method is developed for constructing a series of exact analytical solutions of the nonlinear Schrödinger equation model (NLSE) with varying dispersion, nonlinearity, and gain or absorption. With the help of symbolic computation, a broad class of analytical solutions of NLSE are obtained. Prom our results, many previous known results of NLSE obtained by some authors can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. Further, the formation, interaction and stability of solitons have been investigated.
AB - A method is developed for constructing a series of exact analytical solutions of the nonlinear Schrödinger equation model (NLSE) with varying dispersion, nonlinearity, and gain or absorption. With the help of symbolic computation, a broad class of analytical solutions of NLSE are obtained. Prom our results, many previous known results of NLSE obtained by some authors can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. Further, the formation, interaction and stability of solitons have been investigated.
KW - Nonlinear Schrödinger Equation
KW - Soliton
KW - Soliton Propagation and Interaction
KW - Symbolic Computation
UR - https://www.scopus.com/pages/publications/33749632312
U2 - 10.1145/1073884.1073916
DO - 10.1145/1073884.1073916
M3 - 会议稿件
AN - SCOPUS:33749632312
SN - 1595930957
SN - 9781595930958
T3 - Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC
SP - 224
EP - 230
BT - ISSAC'05 - Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation
PB - Association for Computing Machinery (ACM)
T2 - ISSAC'05 - 2005 International Symposium on Symbolic and Algebraic Computation
Y2 - 24 July 2005 through 27 July 2005
ER -