In this text the authors consider the Korteweg-de Vries (KdV) equation (ut = - uxxx + 6uux) with periodic boundary conditions. Derived to describe long surface waves in a narrow and shallow channel, this equation in fact models waves in homogeneous, weakly nonlinear and weakly dispersive media in general. Viewing the KdV equation as an infinite dimensional, and in fact integrable Hamiltonian system, we first construct action-angle coordinates which turn out to be globally defined. They make evident that all solutions of the ...
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In this text the authors consider the Korteweg-de Vries (KdV) equation (ut = - uxxx + 6uux) with periodic boundary conditions. Derived to describe long surface waves in a narrow and shallow channel, this equation in fact models waves in homogeneous, weakly nonlinear and weakly dispersive media in general. Viewing the KdV equation as an infinite dimensional, and in fact integrable Hamiltonian system, we first construct action-angle coordinates which turn out to be globally defined. They make evident that all solutions of the periodic KdV equation are periodic, quasi-periodic or almost-periodic in time. Also, their construction leads to some new results along the way. Subsequently, these coordinates allow us to apply a general KAM theorem for a class of integrable Hamiltonian pde's, proving that large families of periodic and quasi-periodic solutions persist under sufficiently small Hamiltonian perturbations. The pertinent nondegeneracy conditions are verified by calculating the first few Birkhoff normal form terms -- an essentially elementary calculation.
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Add this copy of KdV & KAM to cart. $49.90, new condition, Sold by Equilibrium Worldbooks rated 5.0 out of 5 stars, ships from San Gabriel, CA, UNITED STATES, published 2010 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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2010
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New in new dust jacket. 292 p. Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics., 45. Audience: Professional and scholarly. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 1st edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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2010
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English
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New in new dust jacket. 292 p. Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics., 45. Audience: Professional and scholarly. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
Add this copy of KdV & KAM to cart. $103.32, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2010 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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2010
Language:
English
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New. Print on demand Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics . XIII, 279 p. Intended for professional and scholarly audience.
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Add this copy of Kdv & Kam to cart. $39.90, new condition, Sold by Equilibrium Worldbooks rated 5.0 out of 5 stars, ships from San Gabriel, CA, UNITED STATES, published 2003 by Springer.
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New in new dust jacket. Sewn binding. Cloth over boards. 279 p. Contains: Illustrations, black & white. Ergebnisse der Mathematik Und Ihrer Grenzgebiete, 45. Audience: General/trade. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 1st edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
Add this copy of Kdv & Kam to cart. $39.97, new condition, Sold by Aideo Textbook rated 4.0 out of 5 stars, ships from Arcadia, CA, UNITED STATES, published 2003 by Springer.
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Seller's Description:
New in new dust jacket. Sewn binding. Cloth over boards. 279 p. Contains: Illustrations, black & white. Ergebnisse der Mathematik Und Ihrer Grenzgebiete, 45. Audience: General/trade. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
