Results 31 to 40 of about 504 (258)
$W_{1+\infty}$ flows and multi-component hierarchy (KP case) [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe show that abelian subalgebras of generalized $W_{1+\infty}$ ($GW_{1+\infty}$) algebra gives rise to the multicomponent KP flows. The matrix elements of the related group elements in the fermionic Fock space is expressed as a product of a certain ...
A. Yu. Orlov
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Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper we study the algebraic properties of a new integrable differential-difference equation. This equation can be seen as a deformation of the modified Narita-Itoh-Bogoyavlensky equation and has the Kaup-Kupershmidt equation in its continuous ...
Edoardo Peroni, Jing Ping Wang
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q-Boson in Quantum Integrable Systems [PDF]
, 2007 q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative NLS model, wide range of q ...
Kundu, A.
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Sigma model instantons and singular tau function [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe generating series for the instanton contribution to Green functions of the $2D$ sigma model was found in the works of Schwarz, Fateev and Frolov.
E. N. Antonov, A. Yu. Orlov
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On a Schwarzian PDE associated with the KdV hierarchy [PDF]
, 2000 We present a novel integrable non-autonomous partial differential equation of the Schwarzian type, i.e. invariant under M\"obius transformations, that is related to the Korteweg-de Vries hierarchy.
Hone, A. N. W. +8 more
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Physical Review BIn a recent work Sharma and Bhosale [Phys. Rev. B, 109, 014412 (2024)], $N$-spin Floquet model having infinite range Ising interaction was introduced. In this paper, we generalized the strength of interaction to $J$, such that $J=1$ case reduces to the aforementioned work.
Harshit Sharma, Udaysinh T. Bhosale
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On the Lagrangian multiform structure of the extended lattice Boussinesq system [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe lattice Boussinesq (lBSQ) equation is a member of the lattice Gel'fand-Dikii (lGD) hierarchy, introduced in \cite{NijPapCapQui1992}, which is an infinite family of integrable systems of partial difference equations labelled by an integer $N$, where ...
F. W. Nijhoff, D. J. Zhang
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Quasi-exactly solvable models derived from the quasi-Gaudin algebra
, 2011 The quasi-Gaudin algebra was introduced to construct integrable systems which are only quasi-exactly solvable. Using a suitable representation of the quasi-Gaudin algebra, we obtain a class of bosonic models which exhibit this curious property.
Jon Links +5 more
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Lagrangian multiform structure of discrete and semi-discrete KP systems [PDF]
Open Communications in Nonlinear Mathematical PhysicsA variational structure for the potential AKP system is established using the novel formalism of a Lagrangian multiforms. The structure comprises not only the fully discrete equation on the 3D lattice, but also its semi-discrete variants including ...
Frank W Nijhoff
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Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials [PDF]
, 2006 We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models.
Finkel, F. +3 more
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