A method for constructing exact solutions and application to Benjamin Ono equation
Wang Zhen (王振)a, Li De-Sheng (李德生)ab, Lu Hui-Fang (鲁慧芳)a, Zhang Hong-Qing (张鸿庆)a
a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; b Department of Mathematics, Shenyang Normal University, Shenyang 110034, China
Abstract By using an improved projective Riccati equation method, this paper obtains several types of exact travelling wave solutions to the Benjamin Ono equation which include multiple soliton solutions, periodic soliton solutions and Weierstrass function solutions. Some of them are found for the first time. The method can be applied to other nonlinear evolution equations in mathematical physics.
Received: 20 April 2005
Revised: 06 June 2005
Accepted manuscript online:
Fund: Project supported by a National Key Basic Research Project of China (Grant No 2004CB318000).
Cite this article:
Wang Zhen (王振), Li De-Sheng (李德生), Lu Hui-Fang (鲁慧芳), Zhang Hong-Qing (张鸿庆) A method for constructing exact solutions and application to Benjamin Ono equation 2005 Chinese Physics 14 2158
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