Conformal Invariant Asymptotic Expansion Approach for Solving （3＋1）-Dimensional JM Equation  

作　　者：LI Zhi-Fang RUAN Hang-Yu 

机构地区：[1]Department of Physics, Ningbo University, Ningbo 315211, China [2]Nonlinear Science Center and Physics Department, Ningbo University, Ningbo 315211, China [3]State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China

出　　处：《Communications in Theoretical Physics》2006年第6期979-984,共6页理论物理通讯（英文版）

基　　金：The project supported by the Natural Science Foundation of Zhejiang Province of China under Grant No. Y604036 and State Key Laboratory of 0il/Gas Reservoir Geology and Exploitation ＂PLN0402＂ The authors would like to thank Prof. Sen-Yue Lou for his help and discussion.

摘　　要：The （3＋1）-dimensional Jimbo-Miwa （JM） equation is solved approximately by using the conformal invariant asymptotic expansion approach presented by Ruan. By solving the new （3＋1）-dimensional integrable models, which are conformal invariant and possess Painlevé property, the approximate solutions are obtained for the JM equation, containing not only one-soliton solutions but also periodic solutions and multi-soliton solutions. Some approximate solutions happen to be exact and some approximate solutions can become exact by choosing relations between the parameters properly.

关 键 词：（3＋1）-dimensional Jimbo-Miwa （JM） equation conformal invariant asymptotic expansion approach Painlevé property approximate and exact solutions 

分 类 号：O411[理学—理论物理]