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

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

作     者:CHENJing XIEFu-Ding LüZhuo-Sheng 

作者机构:DepartmentofComputerScienceLiaoningNormalUniversityDalian116029China KeyLaboratoryofMathematicsMechanizationInstituteofSystemsSciencesAcademyofMathematicsandSystemsSciencestheChineseAcademyofSciencesBeijing100080China 

出 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))

年 卷 期:2005年第43卷第4期

页      面:585-590页

核心收录:

学科分类:08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学(可授工学、理学学位)] 

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 

主  题:BK equations symbolic computation non-travelling wave solution 

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.

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