Victor A. Galaktionov, Sergey R. Svirshchevskii

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution equations and models from physics and mechanics, the book

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 2. November 2006
• Englisch
• ISBN-13: 9781040209226
• Artikelnr.: 73256027

Autorenporträt

Galaktionov, Victor A.; Svirshchevskii, Sergey R.

Inhaltsangabe

Introduction. Linear Invariant Subspaces in Quasilinear Equations.
Invariant Subspaces and Modules. Parabolic Equations in One Dimension.
Odd-Order One-Dimensional Equations. Quasilinear Wave and Boussinesq Models
in One Dimension. Applications to Partial Differential Equations in IRN.
Partially Invariant Subspaces, Invariant Sets, and Generalized Separation
of Variables. Sign-Invariants for Second-Order Parabolic Equations and
Exact Solutions. Invariant Subspaces for Discrete Operators, Moving Mesh
Methods, and Lattices. References. List of Frequently Used Abbreviations.
Index.