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(2+1)维修正Veselov-Novikov系统的新型折叠子及其弹性碰撞
引用本文:沈守枫,张隽.(2+1)维修正Veselov-Novikov系统的新型折叠子及其弹性碰撞[J].物理学报,2006,55(4):1548-1554.
作者姓名:沈守枫  张隽
作者单位:浙江工业大学数学系,杭州 310014
摘    要:借助Mathematica软件,在Bcklund变换的基础上采用多线性变量分离(MLVS)方法,得到了(2+1)维修正Veselov-Novikov系统的一个含低维任意函数的新的精确解.选取合适的多值函数,构造出新型的折叠子,对其进行了分类并且研究了各种类型的二折叠子之间的完全弹性碰撞.另外还给出了折叠子与隐形折叠子的相互作用.最后把MLVS方法推广到一个新的(1+1)维非线性系统. 关键词: 修正Veselov-Novikov系统 折叠子 弹性碰撞 变量分离

关 键 词:修正Veselov-Novikov系统  折叠子  弹性碰撞  变量分离
收稿时间:08 25 2005 12:00AM
修稿时间:2005-08-252005-11-25

New foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system
Shen Shou-Feng,Zhang Jun.New foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system[J].Acta Physica Sinica,2006,55(4):1548-1554.
Authors:Shen Shou-Feng  Zhang Jun
Institution:Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, China
Abstract:By using Mathematica and multi-linear variable separation(MLVS) approach which is based on the Bcklund transformations, a new exact solution which include low dimensional arbitrary functions of the (2+1)-dimensional modified Veselov-Novikov system is obtained. Two new foldons are constructed and their entirely elastic interactions are considered. In additon, foldon and ghoston interactions are derived. MLVS approach is also extended to solve a new (1+1)-dimensional nonlinear system.
Keywords:modified Veselov-Novikov system  foldon  elastic interaction  variable separation
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