Results 21 to 30 of about 456 (259)
A Hierarchy of Integral Operators
Rocky Mountain Journal of Mathematics, 1997 Let \(m\) and \(n\) be integers with \(m+n \geq 0\), \(m^2+ n^2>0\), we define functions \(K_{m,n}\) as follows: \[ K_{m,n} (z)= (-m)! (-1)^m \bigl[(n-1)! \pi\bigr]^{-1} z^{m-1} \overline z^{n-1} \quad \text{for} \quad m\leq 0, \] \[ K_{m,n} (z)= (-n)! (-1)^n\bigl[ (m-1)!
Begehr, Heinrich, Hile, G.N.
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Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations
Mathematics, 2023 We present three reduced integrable hierarchies of nonlocal integrable nonlinear Schrödinger-type equations, starting from a given vector integrable hierarchy generated from a matrix Lie algebra of B type. The basic tool is the zero curvature formulation.
Li Cheng, Wen-Xiu Ma
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Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies
Mathematics, 2023 Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation.
Shou-Ting Chen, Wen-Xiu Ma
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Integrability of generalised type II defects in affine Toda field theory
Journal of High Energy Physics, 2017 The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect.
Rebecca Bristow
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Momentum conserving defects in affine Toda field theories
Journal of High Energy Physics, 2017 Type II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the existence of a conserved momentum in the presence of the defect.
Rebecca Bristow, Peter Bowcock
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INTEGRABLE HIERARCHIES AND THE WDVV-EQUATIONS [PDF]
Quantum Theory and Symmetries, 2002 In this paper an overview is given of connections between the Witten-Dijkgraaf-Verlinde-Verlinde equations and its generalization and various integrable systems. In particular its link with the $n$-component $KP$-hierarchy is treated in a fairly detailed way.
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Integrable Hamiltonian Hierarchies [PDF]
, 2008 Preface In the past decades now a famous class of evolution equations has been discovered and intensively studied, a class including the nowadays celebrated Korteweg-de Vries equation, sine-Gordon equation, nonlinear Schr ̈odinger equation, etc. The equations from this class are known also as the soliton equations or equations solvable by the so ...
GERDJIKOV, VLADIMIR +2 more
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Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations
Journal of High Energy Physics, 2018 The integrability of the N=1 $$ \mathcal{N}=1 $$ supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super Bäcklund transformation. The construction of such transformation
A.R. Aguirre +4 more
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A new kind of anomaly: on W-constraints for GKM
Journal of High Energy Physics, 2021 We look for the origins of the single equation, which is a peculiar combination of W-constrains, which provides the non-abelian W-representation for generalized Kontsevich model (GKM), i.e. is enough to fix the partition function unambiguously. Namely we
A. Morozov
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A Complex Integrable Hierarchy and Its Hamiltonian Structure for Integrable Couplings of WKI Soliton Hierarchy [PDF]
Abstract and Applied Analysis, 2014 We generate complex integrable couplings from zero curvature equations associated with matrix spectral problems in this paper. A direct application to the WKI spectral problem leads to a novel soliton equation hierarchy of integrable coupling system; then we consider the Hamiltonian structure of the integrable coupling system.
Yu, Fajun, Feng, Shuo, Zhao, Yanyu
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