The projective Riccati equation expansion method and variable separation solutions for the nonlinear physical differential equation in physics  

作　　者：马正义 

机构地区：[1]College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, China

出　　处：《Chinese Physics B》2007年第7期1848-1854,共7页中国物理B（英文版）

基　　金：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）. Acknowledgments The authors are indebted to Professors Zhang J F, Zheng C L and Drs Zhu J M, Huang W H for their helpful suggestions and fruitful discussions.

摘　　要：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.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.

关 键 词：projective Riccati equation nonlinear physical equation variable separation solution SOLITON 

分 类 号：O415[理学—理论物理]