Results 71 to 80 of about 9,686 (209)

Restricted Flows and the Soliton Equation with Self-Consistent Sources

Symmetry, Integrability and Geometry: Methods and Applications, 2006
The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Bäcklund transformation for the restricted flows (by V.B. Kuznetsov et al.
Runliang Lin, Haishen Yao, Yunbo Zeng
doaj  

Double-Step Shape Invariance of Radial Jacobi-Reference Potential and Breakdown of Conventional Rules of Supersymmetric Quantum Mechanics

Axioms
The paper reveals some remarkable form-invariance features of the ‘Jacobi-reference’ canonical Sturm–Liouville equation (CSLE) in the particular case of the density function with the simple pole at the origin.
Gregory Natanson
doaj   +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

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

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

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

Disturbance Dynamics and Its Effects on Carbon in Human‐Impacted Mountain Forests in Northwestern Yunnan, China

Ecology and Evolution, Volume 15, Issue 9, September 2025.
Identifying and quantifying natural and anthropogenic disturbances at fine spatial scales is critical to assess the role of forests in climate change mitigation. Using tree rings, fire scars, satellite imagery, official records, and interviews, we reconstructed historical disturbances and identified fires, logging events, landslides, and icy ...
Zhongqian Cheng, Tuomas Aakala, Chengjun Ji, Markku Larjavaara   +3 more
wiley   +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

The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations

, 2005
We obtain isomonodromic transformations for Heun's equation by generalizing Darboux transformation, and we find pairs and triplets of Heun's equation which have the same monodromy structure.
Aoyama H, Crum M M, Gesztesy F, Khare A, Ronveaux A, Smirnov A O, Takemura K, Takemura K, Takemura K, Takemura K, Treibich A, Treibich A, Whittaker E T   +12 more
core   +1 more source

Supersymmetry and Darboux transformations

Journal of Physics: Conference Series, 2012
We study supersymmetry and Darboux transformations for generalized Schrodinger equations with a position-dependent mass and with linearly energy-dependent potentials. The formally adjoint generators of supersymmetry and two superpartner Hamiltonians are constructed and they close a quadratic pseudo-superalgebra for our class of equations.
A A Suzko, E Velicheva
openaire   +1 more source