A unified Explicit Construction of 2N—Solition Solutions for Evolution Equations Determined by 2×2 AKNS System  

作　　者：ZHOUZhen－Jiang LIZhi－Bin 

机构地区：[1]DepartmentofComputerScience,EastChinaNormalUniversity,Shanghai200062,China

出　　处：《Communications in Theoretical Physics》2003年第3期257-260,共4页理论物理通讯（英文版）

摘　　要：An explicit N-flod Darboux transformation for evolution equations determined by general 2×2 AKNS system is constructed.By using the Darboux transformation,the solutions of the evolution equations are reduced to solving a linear algebraic system,from which a unified and explicit formulation of 2N-soliton solutions for the evolution equation are given.Furthermore,a reduction, technique for MKdV equation is presented.and an N-fold Darboux transformation of MKdV hierarchy is constructed through the reduction technique.A Maple package which can entirely automatically output the exact N-soliton solutions of the MKdV equation is developed.

关 键 词：非线性偏微分方程 孤子解 AKNS系统 

分 类 号：O175.29[理学—数学]