Solving Integrable Broer-Kaup Equations in (2+1)-Dimensional Spaces via an Improved Variable Separation Approach |
| |
| Authors: | LI De-Sheng LUO Cheng-Xin ZHANG Hong-Qing |
| |
| Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024,China; Science School, Shenyang University of Technology, Shenyang 110023, China Department of Mathematics, Shenyang Normal University, Shenyang 110034, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
| |
| Abstract: | 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. |
| |
| Keywords: | integrable Broer-Kaup equations in (2 1)-dimensional spaces Backlund transformation Cole Hopf transformation variable separation approach coherent structures |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
