Results 11 to 20 of about 2,288,345 (293)
Generalized Algebraic Bargmann - Darboux Transformations [PDF]
International Journal of Modern Physics A, 1997 Algebraic Bargmann and Darboux transformations for equations of a more general form than the Schr\"odinger ones with an additional functional dependence h(r) in the right-hand side of equations are constructed.
Suzko, A. A.
core +5 more sources
Darboux transformations of supersymmetric Heisenberg magnet model [PDF]
, 2018 The Darboux transformation of supersymmetric Heisenberg magnet model is investigated. We calculate the exact superfield multisoliton solutions of the HM model by iteration of Darboux transformation. Explicit soliton solutions are also constructed for the
Zeeshan Amjad, Bushra Haider
openalex +2 more sources
Differential operators on the superline, Berezinians, and Darboux transformations [PDF]
, 2017 We consider differential operators on a supermanifold of dimension 1|1. We define non-degenerate operators as those with an invertible top coefficient in the expansion in the ‘superderivative’ D (which is the square root of the shift generator, the ...
Simon Li +2 more
openalex +3 more sources
Elementary Darboux Transformations and Factorization [PDF]
Theoretical and Mathematical Physics, 2005 10 ...
Fabio Musso, A. B. Shabat
openalex +4 more sources
Bilinear equations in Darboux transformations by Boson-Fermion correspondence [PDF]
Physica A: Statistical Mechanics and its Applications, 2021 Bilinear equation is an important property for integrable nonlinear evolution equation. Many famous research objects in mathematical physics, such as Gromov-Witten invariants, can be described in terms of bilinear equations to show their connections with
Yi Yang, Jipeng Cheng
semanticscholar +1 more source
Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations [PDF]
Studies in applied mathematics (Cambridge), 2021 In this paper, based on the Hirota and Maxwell–Bloch (H‐MB) system and its application in the theory of the femtosecond pulse propagation through an erbium doped fiber, we define two kinds of nonlocal Hirota and Maxwell–Bloch (NH‐MB) systems, namely, PT ‐
L. An, Chuanzhong Li, Lixiang Zhang
semanticscholar +1 more source
Bidiagonal factorization of tetradiagonal matrices and Darboux transformations [PDF]
Analysis and Mathematical Physics, 2022 Recently a spectral Favard theorem for bounded banded lower Hessenberg matrices that admit a positive bidiagonal factorization was presented. These type of matrices are oscillatory.
A. Branquinho +2 more
semanticscholar +1 more source
Transactions of the American Mathematical Society, 1967 A. M. Bruckner, J. B. Bruckner
openalex +2 more sources
Bäcklund--Darboux transformations in Sato's Grassmannian [PDF]
, 1996 We define B cklund--Darboux transformations in Sato's Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras.
Bojko Bakalov +2 more
openalex +5 more sources
Miura and Darboux transformations in the SUSY KP hierarchies
Nuclear Physics B, 2022 The Miura links between the KP and modified KP hierarchies are extended to the SUSY KP (SKP) and SUSY modified KP hierarchies (SmKP) of Manin Radul and Jacobian types.
Huizhan Chen, Jipeng Cheng, Zhiwei Wu
doaj +1 more source