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Exactly Solvable Models in Mathematical Physics
August 3-8, 1998
South Ural State University
Chelyabinsk, Russia

Organizers
Anjan Kundu, Alexander B. Borisov, Arlen M. Il'in, Igor G. Korepanov, Vladimir E. Korepin, Yuri G. Stroganov

Abstracts

Exactly Solvable Models In Mathematical Physics. Proceedings, International Conference, Chelyabinsk, Russia, August 3-8, 1998. A.A. Logunov, (ed.). 1999. Published in Theor. Math. Phys. 118:255-391,1999, Teor. Mat. Fiz. 118:324-496, 1999.

Vsevolod Adler Discretizations of the Toda-type lattices
Sergey Pavlovich Balandin On the integrability of nonabelian equations
Dumitru Baleanu Duality and Killing-Yano Equations
Ramandip Singh Bhalla Quantum Hamilton-Jacobi Formalsim for Solvable Models
Alexander B. Borisov Dressing chains and duplication of integrable nonlinear equations
Denis Borisov On spectrum of Laplacian with frequently alternating type of boundary condition
Asim Gangopadhyaya Shape Invariance and connection to Algebra
Sergei G. Glebov Resonance layers in the nonlinear wave fields
Ismagil Habibullin Integrable boundary conditions for nonlinear partial differential equations
Arlen M. Il'in On the two-scale method for one-frequency oscillations
Leonid Kalyakin Singular solution of the Liouville equation under perturbation
Rinat Kashaev From the tetrahedron equation to universal R-matrices
Oleg Kiselev Structural instability of the solitary wave for the Davey-Stewartson II equation
V. V. Kiselyov Nonlinear defects in 2D-crystals: Analytical description
Igor G. Korepanov Integrability in 3+1 Dimensions
Vladimir E. Korepin Determinant Representation for Correlation Functions of Exactly Solvable Models
Anjan Kundu Construction of a new class of quantum integrable inhomogeneous models
Vladimir Lazarev The perturbation of the two-soliton solution of the KdV equation (the case of nearly equal amplitudes)
R. Myrzakulov Geometry and multidimensional solitons
C. M. Naón Non-local bosonization at finite temperature
Victor Novokshenov Harmonic inverse mean curvature surfaces and localized Painleve III transcendents
Maxim Pavlov The integrability of one version of nonlinear wave equation
Igor Rasskazov Shock wave under perturbation
Satoru Saito An Extension of Hirota Bilinear Difference Equation
S. M. Sergeev On a two dimensional system associated with the complex of the solutions of the Tetrahedron equation
Arthur G. Sergheyev Nonstandard realisations of sl(2) and quasiexactly solvable models
Ruslan Sharipov Dynamical systems admitting the normal shift
A. F. Sidorov The classes of exact solutions for gazodynamics equations of unbounded cumulation
Yuri G. Stroganov Connection between Classical and Quantum Integrable Chains
B. I. Suleimanov One-parametric family of double-scaling limits in the Hermitian matrix model \Phi6 of 2D quantum gravity, and onset of nondissipative shock wave
Sergei Zykov New soliton-like solutions in sine-Gordon model with infinite discrete spectrum


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