Algebraic Approaches to Partial Differential Equations.

Xu, Xiaoping:

ISBN 10: 3642368735 / ISBN 13: 9783642368738

Published by Heidelberg ; New York, NY ; Dordrecht ; London ; Berlin : Springer, 2013

About this Item

XXIV, 394 p. Like new. Shrink wrapped. / Wie neu. In Folie verschweißt. Sprache: Englisch Gewicht in Gramm: 850.

Seller Inventory # 871340

Bibliographic Details

• Title: Algebraic Approaches to Partial Differential Equations.
• Publisher: Heidelberg ; New York, NY ; Dordrecht ; London ; Berlin : Springer
• Publication Date: 2013
• Language: English
• ISBN 10: 3642368735
• ISBN 13: 9783642368738
• Binding: Hardcover.
• Weight: 850 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

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.

About the Author

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.