| 期刊全稱(chēng) | Algebraic Approaches to Partial Differential Equations | | 影響因子2023 | Xiaoping Xu | | 視頻video | http://file.papertrans.cn/153/152547/152547.mp4 | | 發(fā)行地址 | Fundamental algebraic techniques of solving PDEs.Exact solutions to physical equations.Accessibility to general audience.Includes supplementary material: | | 圖書(shū)封面 |  | | 影響因子 | This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV equation, ?the KP equation, ?the nonlinear Schrodinger equation, ?the Davey and Stewartson equations, the Boussinesq equations in geophysics, ?the Navier-Stokes equations and the boundary layer problems. ?In order to solve them, I have employed the grading technique, matrix differential operators, stable-range of nonlinear terms, moving frames, asymmetric assumptions, ?symmetry transformations, ?linearization techniques ?and ?special functions. The book is self-contained and requires only a minimal understanding of calculus and linear algebra, making it accessible to a broad audience in the fields of mathematics, the sciences and engineering. Readers may find the exact solutions and mathematical skills needed in their own research. | | Pindex | Book 2013 |
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