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Algebraic Approaches to Partial Differential Equations

ALGEBRAIC APPROACHES TO PARTIAL DIFFERENTIAL EQUATIONS

Mathematics

Mathematics & Science

Algebra

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

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.

POST SECONDARY FOUR YEAR

COLFR

COLSO

COLJR

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Dedication.
Preface.
Introduction.
Conventions.
Contents.
1: Ordinary Differential Equations.
2: First-Order Ordinary Differential Equations.
3: Higher Order Ordinary Differential Equations.
4: Special Functions.
5: Partial Differential Equations.
6: First-Order or Linear Equations.
7: Nonlinear Scalar Equations.
8: Nonlinear Schr&#x00F6;dinger and Davey-Stewartson Equations.
9: Dynamic Convection in a Sea.
10: Boussinesq Equations in Geophysics.
11: Navier-Stokes Equations.
12: Classical Boundary Layer Problems.
References.
Index.

Algebraic Approaches to Partial Differential Equations.css-1p8rvzy{position:absolute;padding-left:8px;}

Algebraic Approaches to Partial Differential Equations