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

摘要

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.