省略
发表于 2025-3-23 09:52:45
BOUNDARY STATES IN SUSY SINE-GORDON MODEL,After reviewing briefly the basic concepts and problems of boundary integrable theories we outline a boostrap solution leading to the spectrum of boundary states in SUSY sine-Gordon model with supersymmetric integrable boundary condition.
Lignans
发表于 2025-3-23 17:04:11
GEOMETRY OF DISCRETE INTEGRABILITY. THE CONSISTENCY APPROACH,Long before the theory of solitons, geometers used integrable equations to describe various special curves, surfaces etc. At that time no relation to mathematical physics was known, and quite different geometries appeared in this context (we will call them integrable) were unified by their common geometric features:
丰富
发表于 2025-3-23 19:50:50
ORTHOGONAL POLYNOMIALS SATISFYING Q-DIFFERENCE EQUATIONS,The Askey–Wilson polynomials are the most general orthogonal polynomials, which are eigenfunctions of a second order q-difference operator. I survey recent results aiming at constructing all orthogonal polynomials which are eigenfunctions of a q-difference operator of an arbitrary order, by means of the lattice Darboux transformation.
Accede
发表于 2025-3-23 23:50:12
DISCRETIZATION OF COUPLED SOLITON EQUATIONS,We describe integrable discretization of coupled forms of the well-known soliton equations such as KdV equation, modified KdV equation, sine-Gordon equation and nonlinear Schrödinger equation.
cogitate
发表于 2025-3-24 03:36:40
TOROIDAL LIE ALGEBRA AND BILINEAR IDENTITY OF THE SELF-DUAL YANG-MILLS HIERARCHY,Bilinear identity associated with the self-dual Yang-Mills hierarchy is discussed by using a fermionic representation of the toroidal Lie algebra . . ..
牙齿
发表于 2025-3-24 08:35:34
ALGEBRAIC HIROTA MAPS,ralized) Hirota derivatives in the limit of the dimension of the representation becoming infinite and we discuss an application to the theory of -functions associated with hyperelliptic curves of genus 2.
Abutment
发表于 2025-3-24 12:22:20
ANALYTIC AND ALGEBRAIC ASPECTS OF TODA FIELD THEORIES AND THEIR REAL HAMILTONIAN FORMS,anced the development of graded and Kac-Moody algebras and the method of reductions in the inverse scattering method. Here we outline the basic ideas and some of their latest developments which allowed to relate to each TFT a family of its real Hamiltonian forms.
botany
发表于 2025-3-24 17:45:52
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松软无力
发表于 2025-3-24 19:52:21
AN ADELIC W-ALGEBRA AND RANK ONE BISPECTRAL OPERATORS,ine with rational coefficients. We construct its natural bosonic representation similar to highest weight representation. Then we show that the rank one algebras of bispectral operators are in 1:1 correspondence with the tau-functions in this representation.
尖叫
发表于 2025-3-25 01:45:18
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