Abstract Using the projective Riccati equation expansion (PREE) method, new families of variable separation solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for two nonlinear physical models are obtained. Based on one of the variable separation solutions and by choosing appropriate functions, new types of interactions between the multi-valued and single-valued solitons, such as a peakon-like semi-foldon and a peakon, a compacton-like semi-foldon and a compacton, are investigated.
Received: 06 February 2007
Revised: 23 February 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10272071), the Natural
Science Foundation of Zhejiang Province, China (Grant No Y606049)
and the Key Academic Discipline of Zhejiang Province, China (Grant
No 200412).
Cite this article:
Ma Zheng-Yi(马正义) The projective Riccati equation expansion method and variable separation solutions for the nonlinear physical differential equation in physics 2007 Chinese Physics 16 1848
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