A class of functional asymptotic method for the generalized nonlinear disturbed Schrodinger equation
OUYANG Cheng1, WANG Wei-gang2, SHI Lang-fang3, MO Jia-qi4
1. Faculty of Science, Huzhou University, Huzhou 313000, China
2. Tongcheng Teaching Department , Anqing Teacher’s College, Tongcheng 231400, China
3. College of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China
4. Department of Mathematics, Anhui Normal University, Wuhu 241003, China
Abstract A class of the generalized disturbed nonlinear Schr¨odinger coupled system is studied. Using the specific technique relates to the approximate solutions, the corresponding linear system is first considered and its exact solution is obtained. Then, the functional asymptotic analytic solution of the nonlinear Schr¨odinger disturbed coupled model is found by using a valid method. The obtained asymptotic solution is an analytic expression, so it could also carry on analytic operations. These cannot happen to the simple simulate method.
OUYANG Cheng, WANG Wei-gang, SHI Lang-fang, MO Jia-qi. A class of functional asymptotic method for the generalized nonlinear disturbed Schrodinger equation. Applied Mathematics A Journal of Chinese Universities, 2016, 31(2): 176-184.
