Download PDF by Xiaoping Xu: Algebraic Approaches to Partial Differential Equations

By Xiaoping Xu

This ebook offers a number of the algebraic suggestions for fixing partial differential equations to yield distinctive recommendations, options built through the writer in recent times and with emphasis on actual equations corresponding 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 resolve them, i've got hired the grading approach, matrix differential operators, stable-range of nonlinear phrases, relocating frames, uneven assumptions,  symmetry differences,  linearization innovations  and  special features. The publication is self-contained and calls for just a minimum knowing of calculus and linear algebra, making it available to a vast viewers within the fields of arithmetic, the sciences and engineering. Readers might locate the precise ideas 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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