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Conservation laws of some soliton equations with self-consistent sources

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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.

Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy with self-consistent sourcesKaup-Newell (KN) hierarchy with self-consistent sourcesAblowitz-Ladik (AL) hierarchy with self-consistent sourcesKadomtsev-Petviashvili (KP) hierarchy with self-consistent sourccon

LI Qi、ZHANG Da-jun、CHEN Deng-yuan

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

Department of Mathematics, East China Institute of Technology, Fuzhou 344000, Jiangxi, P. R. China

国家自然科学基金国家自然科学基金Shanghai Leading Academic Discipline ProjectPresident Foundation of East China Institute of Technology

1037107010671121J50101DHXK0810

2011

10.1007/s11741-011-0714-1

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2011.15(3)
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