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Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics
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 equatio...
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| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics / Victor A. Galaktionov, Sergey R. Svirshchevskii |
| Publié : |
Boca Raton (FL) :
Chapman & Hall/CRC
, C 2007 |
| Description matérielle : | 1 vol. (XXX-498 p.) |
| Collection : | Chapman & Hall/CRC applied mathematics and nonlinear science series (Print) ; 10 |
| Contenu : | Introduction : nonlinear partial differential equations and exact solutions. 1. Linear invariant subspaces in quasilinear equations : basic examples and models. 2. Invariant subspaces and modules : mathematics in one dimension. 3. Parabolic equations in one dimension : thin film, Kuramoto-Sivashinsky, and magma models. 4. Odd-order one-dimensional equations : Korteweg-de Vries, compaction, nonlinear dispersion, and Harry Dym models. 5. Quasilinear wave and Boussinesq models in one dimension. Systems of nonlinear equations. 6. Applications to nonlinear partial differential equations in IR[superscript N]. 7. Partially invariant subspaces, invariant sets, and generalized separation of variables. 8. Sign-invariants for second-order parabolic equations and exact solutions. 9. Invariant subspaces for discrete operators, moving mesh methods, and lattices |
| Sujets : |
Bib. CRDM (Mathématiques)
| | Cote | Prêt | Statut |
|---|---|---|---|
| Bibliothèque | 35C380 | Prêt sans prolongation | Disponible |