KP or MKP: Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems

Author:   Boris A. Kupershmidt
Publisher:   American Mathematical Society
Volume:   No. 78
ISBN:  

9780821814000


Pages:   632
Publication Date:   30 April 2000
Format:   Hardback
Availability:   Temporarily unavailable   Availability explained
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KP or MKP: Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems


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Author:   Boris A. Kupershmidt
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 78
Weight:   1.300kg
ISBN:  

9780821814000


ISBN 10:   0821814001
Pages:   632
Publication Date:   30 April 2000
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Continuous space-time: The KP hierarchy The mKP hierarchy Between KP and mKP Noncommutative Lagrangian formalism Noncommutative Hamiltonian informalism mKP = m + KP The quasirelativistic KP hierarchy The second construction of integrals of the KP hierarchy Discrete space-continuous time: KP, then mKP The noncommutative differential-difference calculus The noncommutative Hamiltonian formalism over differential-difference Hamiltonian formalism for discrete integrable systems of KP and mKP types The Gibbons forms The hydrodynamical Ansatz Relativistic Toda lattice and related systems Discrete space-time: The idea of Lax representations and its discrete-time analog Systems of the KP type Systems of mKP type The Toda lattice, the relativistic Toda lattice, and related systems Appendices: Complexification of Hamiltonian systems Asymptotic expansions of Hamiltonian systems Variational calculus over noncommutative rings Hamiltonian correspondencies Covariant aspects of the Hamiltonian formalism Noncommutative solitons The noncommutative KP equation A list of scalar equations Open problems and conjectures Notes and comments Bibliography Index/notations.

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