Differential Equations

Get Algebraic Approaches to Partial Differential Equations PDF

By Xiaoping Xu

This booklet provides some of the algebraic options for fixing partial differential equations to yield targeted options, recommendations built by way of the writer in recent times and with emphasis on actual equations resembling: 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 difficulties.  In order to unravel them, i've got hired the grading strategy, matrix differential operators, stable-range of nonlinear phrases, relocating frames, uneven assumptions,  symmetry changes,  linearization strategies  and  special capabilities. The publication is self-contained and calls for just a minimum realizing of calculus and linear algebra, making it obtainable to a extensive viewers within the fields of arithmetic, the sciences and engineering. Readers could locate the precise suggestions and mathematical abilities wanted of their personal research.

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Algebraic Approaches to Partial Differential Equations (Springer Monographs in Mathematics) by Xiaoping Xu

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