Self-localized solitons of a \(q\)-deformed quantum system
DOI10.1016/j.cnsns.2020.105474zbMath1453.35160arXiv2005.04082OpenAlexW3022587660MaRDI QIDQ2211992
Cihan Bayindir, Azmi Ali Altintas, Fatih Ozaydin
Publication date: 17 November 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.04082
rogue wavesRosen-Morse potential\(q\)-deformed nonlinear Schrödinger equationself-localized solitons
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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- Bipartite entanglement of nonlinear quantum systems in the context of the \(q\)-Heisenberg Weyl algebra
- The nonlinear Schrödinger equation. Singular solutions and optical collapse
- Extreme waves that appear from nowhere: on the nature of rogue waves
- Early detection of rogue waves in a chaotic wave field
- A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour
- Bright and dark solitons in a quasi-1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters
- Compact matrix pseudogroups
- Physical mechanisms of the rogue wave phenomenon.
- Nonlinear modes of a macroscopic quantum oscillator
- Some analytical solitary wave solutions for the generalized q-deformed sinh-Gordon equation: \(\partial^2 \theta / \partial z \partial \xi = \alpha \left[\sinh_q(\beta \theta^\gamma)\right^p - \delta\)]
- The nonlinear Schrödinger harmonic oscillator problem with small odd or even disturbances
- Possible generalization of Boltzmann-Gibbs statistics.
- Rogue heat and diffusion waves
- Rogue quantum harmonic oscillations
- Complexity study of \(q\)-deformed quantum harmonic oscillator
- Constructing quantum logic gates using \(q\)-deformed harmonic oscillator algebras
- A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity
- Work and heat value of bound entanglement
- Q-deformed three-level quantum logic
- Compressive Split-Step Fourier Method
- Quantum deformations andq-boson operators
- Special function solutions of a spectral problem for a nonlinear quantum oscillator
- Thermostatistics of bosonic and fermionic Fibonacci oscillators
- Inhomogeneous quantum groups for particle algebras
- Water waves, nonlinear Schrödinger equations and their solutions
- A quantum quasi-harmonic nonlinear oscillator with an isotonic term
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
- Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model
- The quantum group SUq(2) and a q-analogue of the boson operators
- THE CNOT QUANTUM LOGIC GATE USING q-DEFORMED OSCILLATORS
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Spectral Methods in MATLAB
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Hilbert spaces of analytic functions and generalized coherent states
- Harmonic oscillator realization of the canonical q-transformation
- An exactly solvable three-dimensional nonlinear quantum oscillator
- Spectral Methods
- ON UNITARY TRANSFORMATIONS OF ORTHOFERMION ALGEBRA THAT FORM A QUANTUM GROUP
- Reflectionless potentials and symmetry
- Quantum groups
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