摘要
本文研究一类立方非线性Schrdinger方程的对称约化和精确解问题。首先,利用直接对称方法,得到非线性Schrdinger方程的对称;其次,根据求解相应的特征方程获得非线性Schrdinger方程的相似约化;最后,结合辅助方程获得非线性Schrdinger方程的精确解。这些解包括孤立波解、Jacobi椭圆函数解以及三角函数解。
Symmetry of nonlinear Schrdinger equation was investigated. Applying direct symmetry method,symmetry of nonlinear Schrdinger equation was derived. By solving corresponding characteristic equation associated with the symmetry equation,symmetry reduction of nonlinear Schrdinger were obtained based on a fourth- order auxiliary equation,these solutions include solitary wave solutions,Jacobi elliptic function solutions and trigonometric function solutions.
作者
曹瑞
CAO Rui(Department of Mathematics, Heze University, Heze 274000, Chin)
出处
《贵州大学学报（自然科学版）》
2016年第6期1-4,9,共5页
Journal of Guizhou University:Natural Sciences
基金
国家自然科学基金项目资助(11347102
11401409)
山东省自然科学基金项目资助(ZR2011AL018
ZR2011AQ008)
山东省高校科技计划项目资助(J13LI02)
荷泽学院自然科学基金项目资助(xy14KJ04)
