Read e-book online Exact Solutions and Invariant Subspaces of Nonlinear Partial PDF

By Victor A. Galaktionov,Sergey R. Svirshchevskii

distinctive strategies and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the 1st e-book to supply a scientific development of tangible ideas through linear invariant subspaces for nonlinear differential operators. appearing as a consultant to nonlinear evolution equations and types from physics and mechanics, the e-book makes a speciality of the lifestyles of recent unique suggestions on linear invariant subspaces for nonlinear operators and their an important new properties.

This functional reference offers with a number of partial differential equations (PDEs) and versions that show a few universal nonlinear invariant positive factors. It starts off with classical in addition to more moderen examples of ideas on invariant subspaces. within the rest of the ebook, the authors improve a number of innovations for developing particular recommendations of assorted nonlinear PDEs, together with reaction-diffusion and gasoline dynamics types, thin-film and Kuramoto-Sivashinsky equations, nonlinear dispersion (compacton) equations, KdV-type and Harry Dym versions, quasilinear magma equations, and Green-Naghdi equations. utilizing unique suggestions, they describe the evolution houses of blow-up or extinction phenomena, finite interface propagation, and the oscillatory, altering signal habit of vulnerable options close to interfaces for nonlinear PDEs of assorted varieties and orders.

The concepts surveyed in distinctive ideas and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics function a initial creation to the overall thought of nonlinear evolution PDEs of alternative orders and types.

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Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science) by Victor A. Galaktionov,Sergey R. Svirshchevskii


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