Coupled KdV Equations and Their Explicit Solutions Through Two-Dimensional Hamiltonian System with a Quartic Potential  

作　　者：CAO Jian-Li ZHANG Hua JIAO Wan-Tang 

机构地区：[1]College of Science, Henan University of Technology, Zhengzhou 450052, China [2]Henan Economy and Trade Vocational College, Zhengzhou 450053, China

出　　处：《Communications in Theoretical Physics》2008年第6期1379-1382,共4页理论物理通讯（英文版）

基　　金：the Funds for Basic Research Project under Grant Nos.06XJC033 and 2008Bl10003

摘　　要：Based on the second integrable ease of known two-dimensional Hamiltonian system with a quartie potentiM, we propose a 4 × 4 matrix speetrM problem and derive a hierarchy of coupled KdV equations and their Hamiltonian structures. It is shown that solutions of the coupled KdV equations in the hierarchy are reduced to solving two compatible systems of ordinary differentiM equations. As an application, quite a few explicit solutions of the coupled KdV equations are obtained via using separability for the second integrable ease of the two-dimensional Hamiltonian system.

关 键 词：coupled KdV equations integrable system explicit solution 

分 类 号：O411.1[理学—理论物理]