Results 11 to 20 of about 132,792 (288)

Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme

Mathematics, 2020
In the paper, we introduce an efficient method for generating non-isospectral integrable hierarchies, which can be used to derive a great many non-isospectral integrable hierarchies.
Haifeng Wang, Yufeng Zhang
doaj   +2 more sources

Generalized W-algebras and integrable hierarchies [PDF]

Physics Letters B, 1992
9 ...
Burroughs, N., de Groot, M., Hollowood, T., Miramontes, L.   +3 more
openaire   +5 more sources

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
doaj   +2 more sources

Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions

Mathematics
This 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
doaj   +2 more sources

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.
europepmc   +2 more sources

Lagrangian structures and multidimensional consistency [PDF]

, 2010
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
core   +6 more sources

Q-boson model and relations with integrable hierarchies [PDF]

Nuclear Physics B
This 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]
openaire   +4 more sources

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
openaire   +5 more sources

INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT [PDF]

Reviews in Mathematical Physics, 1995
Analogues of the KP and the Toda lattice hierarchy called dispersionless KP and Toda hierarchy are studied. Dressing operations in the dispersionless hierarchies are introduced as a canonical transformation, quantization of which is dressing operators of the ordinary KP and Toda hierarchy.
Takasaki, Kanehisa, Takebe, Takashi
openaire   +3 more sources

Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

Journal of High Energy Physics, 2023
Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
doaj   +1 more source