Description 
xxiv, 394 pages ; 25 cm 
Content Type 
text 
Format 
volume 
Bibliography 
Includes bibliographical references (pages 385391) and index. 
Contents 
1. Firstorder ordinary differential equations  2. Higher order ordinary differential equations  3. Special functions  4. Firstorder of linear equations  5. Nonlinear scalar equations  6. Nonlinear Schrödinger and DaveyStewartson equations  7. Dynamic convection in a sea  8. Boussinesq equations in geophyics  9. NavierStokes equations  10. Classical boundary layer problems. 
Summary 
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 Schrödinger equation, the Davey and Stewartson equations, the Boussinesq equations in geophysics, the NavierStokes equations and the boundary layer problems. In order to solve them, I have employed the grading technique, matrix differential operators, stablerange of nonlinear terms, moving frames, asymmetric assumptions, symmetry transformations, linearization techniques and special functions. The book is selfcontained 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. 
Subject 
Differential equations, Partial.

ISBN 
3642368735 

9783642368738 

9783642368745 (ebook) 
OCLC number 
828494494 
