A Method to Generate New Exact Solutions from a Known Stationary Solution

作     者：LIU Zeng-rong HUANG De-bin 刘曾荣;黄德斌

作者机构：Departement of MathmaticsShanghai UniversityShanghai 201800 also LNMInstitute of MechanicsChinese Academy of SciencesBeijing 100080 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：1999年第16卷第5期

页      面：313-315页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No.19872044 

主　　题：equation exact integrable 

摘      要：By combining the Backlund transformations and the AKNS system[Study in ***.53(1974)249.]which is a linear eigenvalue problem of the corresponding evolution equation,a method to find new exact solutions from known stationary solutions for nonlinear integrable equations is *** an example,Korteweg de Vries(KdV)equation is used to illustrate this method,and a class of new exact solutions of KdV equation is obtained.