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