Description
Algebraic Approaches to Partial Differential Equations, 2013
Author: Xu Xiaoping
Language: EnglishApproximative price 105.49 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Xu Xiaoping
Algebraic Approaches to Partial Differential Equations
Publication date: 05-2015
Support: Print on demand
Publication date: 05-2015
Support: Print on demand
Approximative price 105.49 €
In Print (Delivery period: 15 days).
Add to cart the book of Xu Xiaoping
Algebraic Approaches to Partial Differential Equations
Publication date: 05-2013
394 p. · 15.5x23.5 cm · Hardback
Publication date: 05-2013
394 p. · 15.5x23.5 cm · Hardback
Description
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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.
Preface.- Introduction.- Ordinary Differential Equations.- Partial Differential Equations.- Bibliography.- Index.
The author received his Ph.D. from Rutgers University, USA in 1992. He is currently a research professor at the Chinese Academy of Sciences’ Institute of Mathematics, and has been working on representation theory and applied partial differential equations for twenty years, during which he has published over fifty substantial research papers and two monographs on mathematics.
Fundamental algebraic techniques of solving PDEs
Exact solutions to physical equations
Accessibility to general audience
Includes supplementary material: sn.pub/extras
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