Download e-book for kindle: Algebraic Approaches to Partial Differential Equations by Xiaoping Xu

By Xiaoping Xu

This publication offers some of the algebraic ideas for fixing partial differential equations to yield specified suggestions, options constructed by way of the writer lately and with emphasis on actual equations comparable to: 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 modifications,  linearization suggestions  and  special features. The ebook is self-contained and calls for just a minimum knowing of calculus and linear algebra, making it obtainable to a huge viewers within the fields of arithmetic, the sciences and engineering. Readers may possibly locate the precise recommendations and mathematical talents 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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