Results 91 to 100 of about 2,288,345 (293)

Darboux transformation of symmetric Jacobi matrices and Toda lattices

Frontiers in Applied Mathematics and Statistics
Let J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = 𝔘𝔏) with L (or 𝔏) and U (or 𝔘) being lower and upper triangular two-diagonal matrices, respectively.
Ivan Kovalyov, Oleksandra Levina
doaj   +1 more source

B\"acklund--Darboux transformations in Sato's Grassmannian [PDF]

, 1996
We define B\"acklund--Darboux transformations in Sato's Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators.
Bakalov, B., Horozov, E., Yakimov, M.
core   +1 more source

Lattice and q-difference Darboux-Zakharov-Manakov systems via $\bar{\partial}$-dressing method

, 1995
A general scheme is proposed for introduction of lattice and q-difference variables to integrable hierarchies in frame of $\bar{\partial}$-dressing method .
B G Konopelchenko, Bianchi L, Bogdanov L V, Bogdanov L V, Bogdanov L V, Carroll R, Darboux G, Dryuma V S, Dryuma V S, Dubrovin B, Dubrovin B, Dubrovin B A, Eisenhart L P, Forsyth A R, Konopelchenko B G, Konopelchenko B G, L V Bogdanov, Nijhoff F, Schief W K, Tsarev S P, Tsarev S P, Zakharov V E, Zakharov V E, Zakharov V E   +23 more
core   +1 more source

Differential Calculi on Associative Algebras and Integrable Systems

, 2020
After an introduction to some aspects of bidifferential calculus on associative algebras, we focus on the notion of a "symmetry" of a generalized zero curvature equation and derive Backlund and (forward, backward and binary) Darboux transformations from ...
A Dimakis, A Dimakis, A Dimakis, A Dimakis, A Dimakis, A Dimakis, A Dimakis, A Dimakis, A Dimakis, A Dimakis, A Dimakis, A Sitarz, C Rogers, D-J Zhang, E Brezin, F Magri, F Magri, G Chavchanidze, G Tondo, J Grifone, J Hietarinta, JT Hartwig, LJ Mason, M Crampin, M Crampin, O Chvartatskyi, P Lorenzoni, P Lorenzoni, VA Marchenko, VK Mel’nikov, Y Kosmann-Schwarzbach   +30 more
core   +1 more source

Existence and orthogonality of stable envelopes for bow varieties

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley   +1 more source

Two Kinds of Darboux-Bäcklund Transformations for the q-Deformed KdV Hierarchy with Self-Consistent Sources

Advances in Mathematical Physics, 2016
Two kinds of Darboux-Bäcklund transformations (DBTs) are constructed for the q-deformed Nth KdV hierarchy with self-consistent sources (q-NKdVHSCS) by using the q-deformed pseudodifferential operators.
Hongxia Wu, Liangjuan Gao, Jingxin Liu, Yunbo Zeng   +3 more
doaj   +1 more source

Pole-skipping of gravitational waves in the backgrounds of four-dimensional massive black holes

European Physical Journal C: Particles and Fields, 2023
Pole-skipping is a property of gravitational waves dictated by their behaviour at horizons of black holes. It stems from the inability to unambiguously impose ingoing boundary conditions at the horizon at an infinite discrete set of Fourier modes.
Sašo Grozdanov, Mile Vrbica
doaj   +1 more source

Darboux transformations of the Supersymmetric BKP hierarchy

Journal of Nonlinear Mathematical Physics, 2016
In this paper, we construct Darboux transformations of the supersymmetric BKP(SBKP) hierarchy. These Darboux transformations can generate new solutions from seed solutions by using bosonic eigenfunctions.
Chuanzhong Li
semanticscholar   +1 more source

Optical Darboux Transformer

Physical Review Letters
The Optical Darboux Transformer is introduced as a photonic device which performs the Darboux transformation directly in the optical domain. This enables two major advances for signal processing based on the nonlinear Fourier transform: (i) the multiplexing of different solitonic waveforms corresponding to arbitrary number of discrete eigenvalues of ...
openaire   +3 more sources

H∞ filtering for 2D continuous‐discrete Takagi–Sugeno fuzzy systems in finite frequency band

Asian Journal of Control, Volume 27, Issue 5, Page 2128-2140, September 2025.
Abstract This paper focuses on the design of H∞$$ {H}_{\infty } $$ filtering for two‐dimensional (2‐D) continuous‐discrete Takagi–Sugeno (T–S) fuzzy systems. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) domain.
Abderrahim El‐Amrani, Hassan Noura, Mustapha Ouladsine, El Mostafa El Adel   +3 more
wiley   +1 more source