Dubrovin B.A., Novikov S.P. Hydrodynamics of Soliton Lattices

Harwood Academic Publishers GmbH, Sov. Sci. Rev. C. Math. Phys. , Vol. 9, 1993. 1-136 рр.
Contents, Volume 1
Methods of Algebraic Geometry in Contemporary
Mathematical Physics V. G. Drinfel'd, I. M. Krichever,
Yu. I. Manin and S. P. Novikov
Mathematical Problems in Statistical Mechanics
R. L. Dobrushin and Ya. G. Sinai
Quantum Completely Integrable Models in Field Theory
L. D. Faddeyev
Thermodynamic Limit in Systems of Statistical Mechanics
WITH FACTORIZED INTERACTION N. N. BogolyubOV Jr,
A. M. Kurbatov, D. Ya. Petrina and D. P. Sankovich
Contents, Volume 2
Part I: Quantum Fluctuations of Instantons V. A.
Fateev, I. V. Frolov, A. S. Schwarz and Yu. S. Tyupkin
Part II: Stochasticity in Nonlinear Systems Hyperbolicity
and Stochasticity of Dynamical Systems Ya. B. Pesin
and Ya. G. Sinai
Geometrical Methods of the Qualitative Theory of
Dynamical Systems in Problems of Theoretical
Physics O. I. Bogoyavlenskil
Stochastic Behavior of Dissipative Systems A. S. Pikovskii
and M. I. Rabinovich
Dynamical Stochasticity in Classical and Quantum
Mechanics B. V. Chirikov, F. M. Izrailev and
D. L. Shepelyansky
Contents, Volume 3
TOPOLOGICAL AND ALGEBRAIC GEOMETRY METHODS IN
Contemporary Mathematical Physics B. A. Dubrovin,
I. M. Krichever and S. P. Novikov
INTEGRABLE SYSTEMS AND LIE ALGEBRAS M. A. Olshanetsky
and A. M. Perelemov
Multiphase Asymptotics of Nonlinear Partial
Differential Equations with a Small Parameter
S. Yu. Dubrokhotov and V. P. Maslov
Contents, Volume 4
Singularities of Functions, Wave Fronts, Caustic and
Multi-Dimensional Integrals V. I. Aol'd,
A. N. Varchenko, A. B. GiventaP and A. G. Khovanskii
Triangle Equations and Simple Lie Algebras A. A. Belavin
and V. G. Drinfeld
Hamiltonian Formalism for Systems of Hydrodynamic
Type V. E. Zakharov and E. A. Kuznetsov
Classification of Integrable Evolution Equations
V. V. Sokolov and A. B. Shabat
Contents, Volume 5
Evolution of States of Infinite Systems in Classical
Statistical Mechanics D. Ya. Petrina and
V. I. Gerasimenko
The Problem of Translation Invariance of Gibbs States,
at Low Temperatures R. L. Dobrushin and
S. B. Shlosman
The Liouville and Sinh-Gordon Equations. Singular
Solutions, Dynamics of Singularities and the Inverse
Problem Method A. K. Pogrebkov and M. K. Polivanov
Contents, Volume 6
Spectral Properties of Random and Almost-Periodic
Operators L. A. Pastur
The Anni Model and Contour Model with Interaction
E. I. Dinaburg, A. E. Mazel' and Ya. G. Sinai
Dimension of Lorenz Type Attractors A. S. Afraimovich
and Ya. B. Pesin
Stochastic Properties of Deterministic Dynamical
Systems M. L. Blank
Contents, Volnme 7
INTERMITTENCY, DIFFUSION AND GENERATION IN A NON-
Stationary Random Medium Ya. B. Zeldovich,
S. A. Molchanov, A. A. Ruzmaikin and D. D. Sokoloff
The Theory of the Nonlinear Spatially Uniform
Bolzmann Equation for Maxwell
Molecules A. V. Bobylev
Spectral Expansion of the Transfer Matrices of Gibbs
Fields R. A. Minlos
Thermodynamic Limit for Solutions of Bogolyubov's
Equations D. Ya. Petrina, V. I. Gerasimenko and
P. V. Malyshev
Contents, Volume 8
INTEGRABLE AND NON-lNTEGRABLE HAMILTONIAN SYSTEMS
V. V. Kozlov
Weak Chaos and Structures A. A. Cheikov, R. Z. Sagdeev,
D. A. Usikov and G. M. Zaslavsky
Localization of One-Dimensional Random Walks in
Random Environments A. V. Letchikov
Universal Scenarios of Transition to Chaos via Homoclinic
Bifurcations D. V. Lyubimov, A. S. Pikovsky and
M. A. Zaks
Multi-Dimensional Strange Attractors and Turbulence
I. S. Aranson, V.S. Afraimovich and M. I. Rabinovich
Contents, Volume 9
Parti
Geometric Integration Theory on Supermanifolds
T. Voronov
Part 2
Peturbation Theory in Periodic Problems for Two-
Dimensional integrable Systems I.M. Krichever
Part 3
Integrable Pseudospin Models in Condensed Matter
V.G. Makhanov and O.K. Pashaev
Part 4:
Hydrodynamics of Soliton Lattices B.A Dubrovin and
S.P. Novikov