Exact Periodic Wave Solution of Extended(2+1)-Dimensional Shallow Water Wave Equation with Generalized D_-operators  

作　　者：董焕河 张艳锋 

机构地区：[1]College of Mathematics and System Science,Shandong University of Science and Technology

出　　处：《Communications in Theoretical Physics》2015年第4期401-405,共5页理论物理通讯（英文版）

基　　金：Supported by Shandong Provincial Key Laboratory of Marine Ecology and Environment&Disaster Prevention and Mitigation project under Grant No.2012010;National Natural Science Foundation of China under Grant No.11271007;Special Funds for Theoretical Physics of the National Natural Science Foundation of China under Grant No.11447205;Shandong University of Science and Technology Research Fund under Grant No.2012KYTD105

摘　　要：With the aid of binary Bell polynomial and a general Riemann theta function, we introduce how to obtain the exact periodic wave solutions by applying the generalized Dpˉ-operators in term of the Hirota direct method when the appropriate value of pˉ is determined. Furthermore, the resulting approach is applied to solve the extended(2+1)-dimensional Shallow Water Wave equation, and the periodic wave solution is obtained and reduced to soliton solution via asymptotic analysis.

关 键 词：（2＋1）-dimensional shallow water wave equation Dpˉ-operators binary Bell polynomials Riemann theta function 

分 类 号：O175[理学—数学]