Using Symbolic Computation to Exactly Solve the Integrable Broer-Kaup Equations in （2＋1）-Dimensional Spaces  

作　　者：CHENJing XIEFu-Ding LüZhuo-Sheng 

机构地区：[1]DepartmentofComputerScience,LiaoningNormalUniversity,Dalian116029,China [2]KeyLaboratoryofMathematicsMechanization,InstituteofSystemsSciences,AcademyofMathematicsandSystemsSciences,theChineseAcademyofSciences,Beijing100080,China

出　　处：《Communications in Theoretical Physics》2005年第4期585-590,共6页理论物理通讯（英文版）

基　　金：国家重点基础研究发展计划(973计划)，辽宁省自然科学基金

摘　　要：The extended tanh method is further improved by generalizing the Riccati equation and introducing its twenty seven new solutions. As its application, the (2+ 1)-dimensional Broer-Kaup equation is investigated and then its fifty four non-travelling wave solutions have been obtained. The results reported in this paper show that this method is more powerful than those, such as tanh method, extended tanh method, modified extended tanh method and Riccati equation expansion method introduced in previous literatures.

关 键 词：BK equations symbolic computation non-travelling wave solution 

分 类 号：O31[理学—一般力学与力学基础] O175.29[理学—力学]