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   作者單位： 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： 理論物理通訊(英文版)  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2004 42(7)  分類號：   關鍵詞： integrable Broer-Kaup equations in (2+1)-dimensional spaces   Backlund transformation   Cole Hopf transformation   variable separation approach   coherent structures  

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