Darboux transformations for orthogonal differential systems and differential Galois theory
DOI10.3842/sigma.2023.016zbMath1521.12006arXiv2101.07470OpenAlexW3125685292MaRDI QIDQ6042951
Raquel Sánchez-Cauce, Moulay A. Barkatou, Primitivo Belén Acosta-Humánez, Jacques-Arthur Weil
Publication date: 4 May 2023
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.07470
Schrödinger equationdifferential Galois theorytensor productsupersymmetric quantum mechanicsDarboux transformationsdifferential Galois groupsymmetric powershape invariant potentialsorthogonal differential systemsFrenet-serret formulasrigid solid problem
PDEs in connection with quantum mechanics (35Q40) Supersymmetry and quantum mechanics (81Q60) Differential algebra (12H05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamical breaking of supersymmetry
- New Lax pairs and Darboux transformation and its application to a shallow water wave model of generalized KdV type
- Galoisian approach to integrability of Schrödinger equation
- Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
- Darboux transformation and the explicit solutions of differential- difference and difference-difference evolution equations. I
- Some comments on the rational solutions of the Zakharov-Schabat equations
- Differential-difference evolution equations. II: Darboux transformation for the Toda lattice
- An algorithm for computing a companion block diagonal form for a system of linear differential equations
- On symplectically rigid local systems of rank four and Calabi-Yau operators
- Reduced forms of linear differential systems and the intrinsic Galois-Lie algebra of Katz
- Solving linear differential equations
- Darboux-Moutard transformations and Poincaré-Steklov operators
- Rational KdV potentials and differential Galois theory
- A characterization of reduced forms of linear differential systems
- Differential Galois theory and Darboux transformations for integrable systems
- Darboux transformations in integrable systems. Theory and their applications to geometry
- The generalized Euler–Poinsot rigid body equations: explicit elliptic solutions
- Moutard type transformation for matrix generalized analytic functions and gauge transformations
- Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System
- The Poisson equations in the nonholonomic Suslov problem: integrability, meromorphic and hypergeometric solutions
- Diagonals of rational functions and selected differential Galois groups
- Differential Galois Theory of Algebraic Lie-Vessiot Systems
- Algebraic Relations Among Solutions of Linear Differential Equations: Fano's Theorem
- Linear differential equations for a fractional spin field
- Chains of Darboux transformations for the matrix Schrödinger equation
- Computing closed form solutions of integrable connections
- Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups
- Differential algebra on lattice Green functions and Calabi–Yau operators
