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Using Symbolic Computation to Exactly Solve the Integrable Broer-Kaup Equations in (2+1)-Dimensional Spaces 认领 引用 被引量：32
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作者 CHENJing XIEFu-Ding LüZhuo-Sheng 《Communications in Theoretical Physics》 SCIE CAS 2005年第4期585-590,共6页
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... 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. 展开更多
关键词 BK equations symbolic computation non-travelling wave solution
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Applications of Computer Algebra in Solving Nonlinear Evolution Equations 认领 引用 被引量：18
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作者 XIEFu-Ding GAOXiao-Shan 《Communications in Theoretical Physics》 SCIE CAS 2004年第3期353-356,共4页
With the use of computer algebra, the method that straightforwardly leads to travelling wave solutions is presented. The compound KdV-Burgers equation and KP-B equation are chosen to illustrate this approach. As a res... With the use of computer algebra, the method that straightforwardly leads to travelling wave solutions is presented. The compound KdV-Burgers equation and KP-B equation are chosen to illustrate this approach. As a result, their abundant new soliton-like solutions and period form solutions are found. 展开更多
关键词 computer algebra travelling wave solution nonlinear evolution equation
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A Computational Approach to the New Type Solutions of Whitham-Broer-KaupEquation in Shallow Water 认领 引用 被引量：2
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作者 XIEFu-Ding GAOXiao-Shan 《Communications in Theoretical Physics》 SCIE CAS 2004年第2期179-182,共4页
Based on computerized symbolic computation,a new method and its algorithm are proposed for searching for exact travelling wave solutions of the nonlinear partial differential equations.Making use of our approach,we in... Based on computerized symbolic computation,a new method and its algorithm are proposed for searching for exact travelling wave solutions of the nonlinear partial differential equations.Making use of our approach,we investigate the Whitham-Broer-Kaup equation in shallow water and obtain new families of exact solutions,which include soliton-like solutions and periodic solutions.As its special cases,the solutions of classical long wave equations and modified Boussinesq equations can also be found. 展开更多
关键词 WBK equation coupled projective Riccati equations soliton-like wave solution symbolic computation
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