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Algebraic Approaches to Partial Differential Equations
Xiaoping Xu
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Description for Algebraic Approaches to Partial Differential Equations
Paperback. This book presents 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. Num Pages: 418 pages, biography. BIC Classification: PBKJ; PBW; PHU. Category: (G) General (US: Trade). Dimension: 235 x 155 x 22. Weight in Grams: 640.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2015
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
418
Condition
New
Number of Pages
394
Place of Publication
Berlin, Germany
ISBN
9783642427626
SKU
V9783642427626
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Xiaoping Xu
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.
Reviews for Algebraic Approaches to Partial Differential Equations
From the book reviews: “Professor Xu’s treatise is an interesting addition to the literature on exact/explicit solutions to nonlinear partial differential equations. … the present book will be useful for a large audience of applied mathematicians, specialists in numerical analysis, physicists and engineers.” (Enrique G. Reyes, Mathematical Reviews, August, 2014)