Results 11 to 20 of about 137,094 (294)
On the Lagrangian Structure of Integrable Hierarchies [PDF]
, 2016 We develop the concept of pluri-Lagrangian structures for integrable hierarchies. This is a continuous counterpart of the pluri-Lagrangian (or Lagrangian multiform) theory of integrable lattice systems. We derive the multi-time Euler Lagrange equations in their full generality for hierarchies of two-dimensional systems, and construct a pluri-Lagrangian
Suris, Yuri B., Vermeeren, Mats
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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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Generalized W-algebras and integrable hierarchies [PDF]
Physics Letters B, 1992 9 ...
Burroughs, N. +3 more
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Q-boson model and relations with integrable hierarchies [PDF]
Nuclear Physics BThis work investigates the intricate relationship between the q-boson model, a quantum integrable system, and classical integrable systems such as the Toda and KP hierarchies. Initially, we analyze scalar products of off-shell Bethe states and explore their connections to tau functions of integrable hierarchies.
Araujo, Thiago, Araujo, Thiago [UNESP]
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Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions
MathematicsThis paper applies a pair of identical group reductions or similarity transformations to formulate integrable models. An application to the Ablowitz–Kaup–Newell–Segur (AKNS) matrix spectral problems leads to reduced matrix modified Korteweg–de Vries ...
Wen-Xiu Ma
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy [PDF]
Abstract and Applied Analysis, 2014 With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI)
Zhengduo Shan, Hongwei Yang, Baoshu Yin
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Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper, we give a procedure for discretizing recursion operators by utilizing unified bilinear forms within integrable hierarchies. To illustrate this approach, we present unified bilinear forms for both the AKNS hierarchy and the KdV hierarchy ...
Xingbiao Hu, Guofu Yu, Yingnan Zhang
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Dispersionless (3+1)-dimensional integrable hierarchies. [PDF]
Proc Math Phys Eng Sci, 2017 In this paper, we introduce a multi-dimensional version of the R -matrix approach to the construction of integrable hierarchies.
Błaszak M, Sergyeyev A.
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Liouville Correspondences between Integrable Hierarchies [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. We show how a pair of Liouville transformations between the isospectral problems of the Novikov and Sawada-Kotera equations, and the isospectral problems of the Degasperis ...
Kang, J., Liu, X., Olver, P.J., Qu, C.
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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 +2 more
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