Solving Integrable Broer-Kaup Equations in (2+1)-Dimensional Spaces via an Improved Variable Separation Approach
Starting from Backlund transformation and using Cole-Hopf transformation, we reduce the integrable Broer-Kaup equations in (2+1)-dimensional spaces to a simple linear evolution equation with two arbitrary functions of {x,t} and {y,t} in this paper. And we can obtain some new solutions of the original equations by investigating the simple nonlinear evolution equation, which include the solutions obtained by the variable separation approach.
作 者： LI De-Sheng LUO Cheng-Xin ZHANG Hong-Qing 作者单位： LI De-Sheng(Department of Applied Mathematics, Dalian University of Technology, Dalian 116024,China; Science School, Shenyang University of Technology, Shenyang 110023, China)LUO Cheng-Xin(Department of Mathematics, Shenyang Normal University, Shenyang 110034, China)
ZHANG Hong-Qing(Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China)
刊 名： 理论物理通讯(英文版) ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2004 42(7) 分类号： 关键词： integrable Broer-Kaup equations in (2+1)-dimensional spaces Backlund transformation Cole Hopf transformation variable separation approach coherent structures