Results 101 to 110 of about 2,288,345 (293)

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

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

Confluent Darboux Transformations and Wronskians for Algebraic Solutions of the Painlevé III (D₇) Equation

Mathematics
Darboux transformations are relations between the eigenfunctions and coefficients of a pair of linear differential operators, while Painlevé equations are nonlinear ordinary differential equations whose solutions arise in diverse areas of applied ...
Joe W. E. Harrow, Andrew N. W. Hone
doaj   +1 more source

Darboux transformation and solitonic solution to the coupled complex short pulse equation [PDF]

, 2022
Bao‐Feng Feng, Liming Ling
openalex   +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

Characterizing the fine‐scale spatial distribution of soil phosphorus for efficient phosphorus management in an Illinois tile‐drained field

Journal of Environmental Quality, Volume 54, Issue 5, Page 1077-1089, September/October 2025.
Abstract Closed depressions in post‐glacial landscapes can accumulate phosphorus (P) due to repeated flooding and become hotspots for P loss when underlain by subsurface (tile) drainage. Soil P mapping is routinely based on the interpolation of samples from a 1‐ha grid, which may miss closed depressions and underestimate soil P levels leading to ...
Lenarth A. Ferrari, Lowell E. Gentry, Luis F. Andino, Jennifer M. Fraterrigo   +3 more
wiley   +1 more source

Linearizability conditions of quasi-cubic systems

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper we study the linearizability problem of the two-dimensional complex quasi-cubic system $\dot{z}=z+(zw)^{d}(a_{30}z^{3}+a_{21}z^{2}w+a_{12}zw^2+a_{03}w^{3}),~\dot{w}=-w-(zw)^{d}(b_{30}w^{3}+b_{21}w^{2}z+b_{12}wz^2+b_{03}z^{3})$, where $z, w,
Wentao Huang, Xingyu Fan, Xingwu Chen
doaj   +1 more source

Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics. I: general classification of reducibility and analysis of the third-order algebra

, 2007
We study possible factorizations of supersymmetric (SUSY) transformations in the one-dimensional quantum mechanics into chains of elementary Darboux transformations with nonsingular coefficients.
A. A. Andrianov, A. A. Andrianov, A. A. Andrianov, A. A. Andrianov, A. A. Andrianov, A. A. Andrianov, A. Aoyama, A. Lahiri, A. V. Sokolov, B. Mielnik, C. V. Sukumar, D. J. C. Fernández, E. Schrödinger, F. Cooper, F. Cooper, G. Darboux, L. D. Faddeev, L. E. Gendenshtein, L. Infeld, M. M. Crum, M. M. Nieto, M. V. Ioffe, V. G. Bagrov, V. G. Bagrov, V. G. Bagrov   +24 more
core   +1 more source

Twisted kinks, Dirac transparent systems and Darboux transformations [PDF]

, 2014
Darboux transformations are employed in construction and analysis of Dirac Hamiltonians with pseudoscalar potentials. By this method, we build a four parameter class of reflectionless systems.
F. Correa, V. Jakubský
semanticscholar   +1 more source

Darboux transformations for SUSY integrable systems [PDF]

, 2007
13 pages. LaTeX209 with LamuPhys and EPSF packages, 3 figures. Contribution to the proceedings of the "Integrable Models and Supersymmetry" meeting held at Chicago on July ...
Liu, Q. P., Manas, Manuel
openaire   +2 more sources