Dark Parameterizations,Equivalent Partner Fields and Integrable Systems  

作　　者：LOU Sen-Yue 

机构地区：[1]Faculty of Science, Ningbo University, Ningbo 315211, China [2]Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China [3]School of Mathematics, Fudan University, Shanghai 200433, China

出　　处：《Communications in Theoretical Physics》2011年第5期743-746,共4页理论物理通讯（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China under Grang No.10735030;the National Basic Research Programs of China(973 Programs 2007CB814800 and 2005CB422301);K.C.Wong Magna Fund in Ningbo University

摘　　要：After introducing dark parameters into the traditional physical models, some types of new phenomena may be found. An important difficult problem is how to directly observe this kind of physical phenomena. An alternative treatment is to introduce equivalent multiple partner fields. If use this ideal to integrable systems, one may obtain infinitely many new coupled integrable systems constituted by the original usuM field and partner fields. The idea is illustrated via the celebrate KdV equation. From the procedure, some byproducts can be obtained： A new method to find exact solutions of some types of coupled nonlinear physical problems, say, the perturbation KdV systems, is provided; Some new localized modes such as the staggered modes can be found and some new interaction phenomena like the ghost interaction are discovered.

关 键 词：dark X dark parameterization integrable systems exact solution 

分 类 号：O175.5[理学—数学] TP311.13[理学—基础数学]