Explicit solutions of matrix and dynamical Schrödinger equations and of KdV equation in terms of square roots of the generalised matrix eigenvalues
DOI10.7153/oam-2022-16-76OpenAlexW4317928755MaRDI QIDQ5883973
Publication date: 18 March 2023
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/oam-2022-16-76
explicit solutionKdVmatrix rootstrongly singular potentialmatrix Schrödinger equationdynamical Schrödinger equation
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Matrix equations and identities (15A24) NLS equations (nonlinear Schrödinger equations) (35Q55) Explicit solutions, first integrals of ordinary differential equations (34A05) Matrix exponential and similar functions of matrices (15A16)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions
- Solvable rational extensions of the isotonic oscillator
- Spin Calogero particles and bispectral solutions of the matrix KP hierarchy
- Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations
- A complete spectral characterization of the double commutation method
- Sturm-Liouville systems with rational Weyl functions: Explicit formulas and applications
- Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications
- Exactly solvable models with time-dependent potentials
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Weyl-Titchmarsh Theory for Schrodinger Operators with Strongly Singular Potentials
- Inverse problems for self-adjoint Dirac systems: explicit solutions and stability of the procedure
- Commutation methods for Schrödinger operators with strongly singular potentials
- Spectral optimization for singular Schrödinger operators
- Reconstruction of radial Dirac operators
- Algebraic construction of the Darboux matrix revisited
- Deforming the point spectra of one-dimensional Dirac operators
- Dressing procedure for solutions of non-linear equations and the method of operator identities
- Continuous and discrete dynamical Schrödinger systems: explicit solutions
- On the double commutation method
- Darboux transformations and supersymmetry for the generalized Schrödinger equations in (1+1) dimensions
- Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
- Generalized Bäcklund-Darboux transformation: Spectral properties and nonlinear equations
- Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications
This page was built for publication: Explicit solutions of matrix and dynamical Schrödinger equations and of KdV equation in terms of square roots of the generalised matrix eigenvalues
