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A new generalized algebra method and its application in the (2 + 1) dimensional Boiti–Leon–Pempinelli equation |
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| Authors: | Yu-Jie Ren Shu-Tian Liu Hong-Qing Zhang |
| Affiliation: | aDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, People’s Republic of China bDepartment of Mathematics and Physics, Dalian Institute of Light Industry, Dalian 116034, People’s Republic of China cState Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, People’s Republic of China |
| Abstract: | In the present paper, some types of general solutions of a first-order nonlinear ordinary differential equation with six degree are given and a new generalized algebra method is presented to find more exact solutions of nonlinear differential equations. As an application of the method and the solutions of this equation, we choose the (2 + 1) dimensional Boiti Leon Pempinelli equation to illustrate the validity and advantages of the method. As a consequence, more new types and general solutions are found which include rational solutions and irrational solutions and so on. The new method can also be applied to other nonlinear differential equations in mathematical physics. |
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