The Riccati Equation Mapping Method for Solving Nonlinear Partial Differential Equations in Mathematical Physics
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Creator Elsayed Mohamed Elsayed ZAYED, Hoda Ibrahim Sayed AHMED
Title The Riccati Equation Mapping Method for Solving Nonlinear Partial Differential Equations in Mathematical Physics
Publisher Walailak University
Publication Year 2557
Journal Title Walailak Journal of Science and Technology
Journal Vol. 11
Journal No. 7
Page no. 621-632
Keyword The Riccati equation mapping method, the (2+1)-dimensional nonlinear Boussinesq-Kadomtsev-Petviashvili equation, the (1+1)-dimensional nonlinear heat conduction equation, exact solutions
ISSN 1686-3933
Abstract In this article, many new exact solutions of the (2+1)-dimensional nonlinear Boussinesq-Kadomtsev-Petviashvili equation and the (1+1)-dimensional nonlinear heat conduction equation are constructed using the Riccati equation mapping method. By means of this method, many new exact solutions are successfully obtained. This method can be applied to many other nonlinear evolution equations in mathematical physics.
Walailak University

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