Variable separation solutions and new solitary wave structures to the (1+1)-dimensional equations of long-wave－short-wave resonant interaction
Xu Chang-Zhi (徐昌智)ab, He Bao-Gang (何宝钢)ab, Zhang Jie-Fang (张解放)a
a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; b Department of Physics and Mathematics, Jinhua Educational College, Jinhua 321000, China
Abstract A variable separation approach is proposed and extended to the (1+1)-dimensional physical system. The variable separation solutions of (1+1)-dimensional equations of long-wave－short-wave resonant interaction are obtained. Some special type of solutions such as soliton solution, non-propagating solitary wave solution, propagating solitary wave solution, oscillating solitary wave solution are found by selecting the arbitrary function appropriately.
Received: 27 April 2004
Revised: 27 May 2004
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10272072) and the Natural Science Foundation of Zhejiang Province (Grant No 100039).
Cite this article:
Xu Chang-Zhi (徐昌智), He Bao-Gang (何宝钢), Zhang Jie-Fang (张解放) Variable separation solutions and new solitary wave structures to the (1+1)-dimensional equations of long-wave－short-wave resonant interaction 2004 Chinese Physics 13 1777
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