✦ LIBER ✦

Hamiltonian methods in the theory of solitons

✍ Scribed by Ludvig D. Faddeev, Leon Takhtajan, A.G. Reyman

Book ID: 127428491
Publisher: Springer
Year: 2007
Tongue: English
Weight: 4 MB
Series: Classics in mathematics
Category: Library
City: Berlin; New York
ISBN-13: 9783540698432
ISSN: 1431-0821

No coin nor oath required. For personal study only.

✦ Synopsis

The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schr?dinger equation, rather than the (more usual) KdV equation, is considered as a main example. The investigation of this equation forms the first part of the book. The second part is devoted to such fundamental models as the sine-Gordon equation, Heisenberg equation, Toda lattice, etc, the classification of integrable models and the methods for constructing their solutions.

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