Results 21 to 30 of about 8,648 (287)

Conformal Maps and Integrable Hierarchies [PDF]

Communications in Mathematical Physics, 2000
Let \(D\) be simply connected domain in the complex \(z\)-plane bounded by a simple analytic curve \(\Gamma\). The authors show that conformal maps \(D\) onto unit disk \(G_1=\{x \mid|z|
Wiegmann, P. B., Zabrodin, A.
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Hodge Integrals and Integrable Hierarchies [PDF]

Letters in Mathematical Physics, 2010
We show that the generating series of some Hodge integrals involving one or two partitions are tau-functions of the KP hierarchy or the 2-Toda hierarchy respectively. We also formulate a conjecture on the connection between relative invariants and integrable hierarchies. The conjecture is verified in some examples.
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A novel hierarchy of integrable lattices [PDF]

Inverse Problems, 1994
In the framework of the reduction technique for Poisson-Nijenhuis structures, we derive a new hierarchy of integrable lattice, whose continuum limit is the AKNS hierarchy. In contrast with other differential-difference versions of the AKNS system, our hierarchy is endowed with a canonical Poisson structure and, moreover, it admits a vector ...
MEROLA, IMMACOLATA, RAGNISCO O, TU GUI ZHANG   +2 more
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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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Backlund transformation for integrable hierarchies: example - mKdV hierarchy

Journal of Physics: Conference Series, 2015
Proceedings of the 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent ...
Gomes, J. F., Retore, A. L., Spano, N. I., Zimerman, A. H.   +3 more
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Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace [PDF]

, 1997
We generalize the Drinfeld-Sokolov formalism of bosonic integrable hierarchies to superspace, in a way which systematically leads to the zero curvature formulation for the supersymmetric integrable systems starting from the Lax equation in superspace. We
A. Das, C. Rasinariu, Gelfand I. M., H. Aratyn, Popowicz Z.   +4 more
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Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy [PDF]

Journal of Mathematical Physics, 1998
An analytic-bilinear approach for construction and study of integrable hierarchies, in particular, the KP hierarchy is proposed. It starts with the generalized Hirota identity for the Cauchy–Baker–Akhiezer (CBA) function and leads to a generalized KP hierarchy in the form of compact functional equations containing a special shift operator.
BOGDANOV L. V., KONOPELCHENKO, Boris
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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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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
doaj   +1 more source