Conservation laws of some soliton equations with self-consistent sources  

作　　者：李琪 张大军 陈登远 

机构地区：[1]Department of Mathematics, College of Sciences, Shanghai University [2]Department of Mathematics, East China Institute of Technology

出　　处：《Journal of Shanghai University(English Edition)》2011年第3期157-165,共9页上海大学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.10371070, 10671121);the Shanghai Leading Academic Discipline Project (Grant No.J50101);the President Foundation of East China Institute of Technology (Grant No.DHXK0810)

摘　　要：Infinitely many conservation laws for some （1＋1）-dimension soliton hierarchy with self-consistent sources are constructed from their corresponding Lax pairs directly. Three examples are given. Besides, infinitely many conservation laws for Kadomtsev-Petviashvili （KP） hierarchy with self-consistent sources are obtained from the pseudo-differential operator and the Lax pair.Infinitely many conservation laws for some （1＋1）-dimension soliton hierarchy with self-consistent sources are constructed from their corresponding Lax pairs directly. Three examples are given. Besides, infinitely many conservation laws for Kadomtsev-Petviashvili （KP） hierarchy with self-consistent sources are obtained from the pseudo-differential operator and the Lax pair.

关 键 词：Ablowitz-Kaup-Newell-Segur （AKNS） hierarchy with self-consistent sources Kaup-Newell （KN） hierarchy with self-consistent sources Ablowitz-Ladik （AL） hierarchy with self-consistent sources Kadomtsev-Petviashvili （KP） hierarchy with self-consistent sources conservation laws 

分 类 号：O175.2[理学—数学]