Direct Approach to Construct the Periodic Wave Solutions for Two Nonlinear Evolution Equations  

作　　者：CAI Ke-Jie TIAN Bo ZHANG Huan MENG Xiang-Hua 

机构地区：[1]School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China [2]State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China [3]Key Laboratory of Information Photonics and Optical Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China

出　　处：《Communications in Theoretical Physics》2009年第9期473-478,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.60772023;the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.BUAA-SKLSDE-09KF-04;Beijing University of Aeronautics and Astronautics,by the National Basic Research Program of China (973 Program) under Grant No.2005CB321901;the Specialized Research Fund for the Doctoral Program of Higher Education under Grant Nos.20060006024 and 200800130006,Chinese Ministry of Education

摘　　要：With symbolic computation, the Hirota method and Riemann theta function are employed to directly construct the periodic wave solutions for the Hirota-Satsuma equation for shallow water waves and Boiti-Leon-Manna- Pempinelli equation. Then, the corresponding figures of the periodic wave solutions are given. Fhrthermore, it is shown that the known soliton solutions can be reduced from the periodic wave solutions.

关 键 词：periodic wave solutions Hirota-Satsuma equation for shallow water waves Boiti-Leon-Manna-Pempinelli equation Hirota method Riemann theta function 

分 类 号：O411.1[理学—理论物理] O175.29[理学—物理]