Algebraic Approaches to Partial Differential Equations

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Keywords partial differential equation , controllability , division algorithm , trigonometric ring. Publication Data.

Algebraic Approaches to Partial Differential Equations

ISSN print : Publisher: Society for Industrial and Applied Mathematics. Online access to the content you have requested requires one of the following:.

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Algebraic Approaches to Partial Differential Equations

USD Sign in to Purchase Instantly. Overview 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.

Charpit's Method For Non Linear Partial Differential Equation By GP

About the Author The author received his Ph. Table of Contents Preface.

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Average Review. Write a Review. Related Searches. It has been widely recognized nowadays the importance of introducing mathematical models that take into It has been widely recognized nowadays the importance of introducing mathematical models that take into account possible sudden changes in the dynamical behavior of a high-integrity systems or a safety-critical system.

Such systems can be found in aircraft control, nuclear View Product. Dynamical systems of course originated from Dynamical systems of course originated from ordinary differential equations.