广义2+1维变系数非线薛定愕方程新的准确解

数学季刊 ›› 2012, Vol. 27 ›› Issue (2): 224-231.

广义2+1维变系数非线薛定愕方程新的准确解

Center for Teaching and Learning Development, Zhejiang International Studies University

收稿日期:2010-09-03 出版日期:2012-06-30 发布日期:2023-03-29
作者简介:JIANG Zhi-ping(1963-), female, native of Jiangshan, Zhejiang, a professor of Zhejiang International Studies University, engages in soliton and integrable system.
基金资助:
Supported by the Science Research Foundation of Zhanjiang Normal University(L0803)

New Exact Solutions for the Generalized (2+1)-dimensional Nonlinear Schrodinger Equation with Variable Coeﬃcients

Center for Teaching and Learning Development, Zhejiang International Studies University

Received:2010-09-03 Online:2012-06-30 Published:2023-03-29
About author:JIANG Zhi-ping(1963-), female, native of Jiangshan, Zhejiang, a professor of Zhejiang International Studies University, engages in soliton and integrable system.
Supported by:
Supported by the Science Research Foundation of Zhanjiang Normal University(L0803)

摘要/Abstract

摘要： With the help of the variable-coefficient generalized projected Ricatti equation expansion method, we present exact solutions for the generalized (2+1)-dimensional nonlinear Schrdinger equation with variable coefficients. These solutions include solitary wave solutions, soliton-like solutions and trigonometric function solutions. Among these solutions, some are found for the first time.

关键词: (2+1)-dimensions nonlinear Schrodinger equation, variable coeffcients, projected Ricatti equation expansion method

Abstract: With the help of the variable-coefficient generalized projected Ricatti equation expansion method, we present exact solutions for the generalized (2+1)-dimensional nonlinear Schrdinger equation with variable coefficients. These solutions include solitary wave solutions, soliton-like solutions and trigonometric function solutions. Among these solutions, some are found for the first time.

Key words: (2+1)-dimensions nonlinear Schrodinger equation, variable coeffcients, projected Ricatti equation expansion method

中图分类号:

O175.23

蒋志萍. 广义2+1维变系数非线薛定愕方程新的准确解[J]. 数学季刊, 2012, 27(2): 224-231.

JIANG Zhi-ping. New Exact Solutions for the Generalized (2+1)-dimensional Nonlinear Schrodinger Equation with Variable Coeﬃcients[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(2): 224-231.