A new General Algebraic Method and its applications to the (2+1)-dimensional Broer-Kaup-Kupershmidt equations

作者：Bai Cheng Lin^*; Zhao Hong

来源：Applied Mathematics and Computation, 2010, 217(4): 1719-1732.

DOI：10.1016/j.amc.2009.10.034

• Repeated General Algebraic Method
• Sub-equation
• BKK equations
• Exact analytical solutions
• Symbolic computation

Using a computerized symbolic computation technique, a new method named the Repeated General Algebraic Method (RGAM) is established in this study in order to find exact solutions of Nonlinear Partial Differential Equations (NLPDEs). The new method is validated based on the (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) equations. By using the RGAM in various conditions, a number of exact solutions of NLPDEs have been obtained showing potential importance in future physical applications. Also, it is anticipated that the RGAM can be applied to other nonlinear evolution equations in mathematical physics to produce some interesting outcomes.

• 出版日期2010-10-15
• 单位聊城大学