Travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms
Chen Yong (陈勇)abc, Li Biao (李彪)bc
a Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; ; b Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; c Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China
Abstract Applying the general projective Riccati equations method, we consider the exact travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms using symbolic computation. From our results, we not only can successfully recover some previously known travelling wave solutions found by using various tanh methods, but also can obtain some new formal solutions. The solutions obtained include kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions.
Received: 30 May 2003
Revised: 01 September 2003
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10072013), the State Key Development Program for Basic Research of China (Grant No G1998030600).
Cite this article:
Chen Yong (陈勇), Li Biao (李彪) Travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms 2004 Chinese Physics 13 302
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