Generalized Korteweg-de Vries equation induced from position-dependent effective mass quantum models and mass-deformed soliton solution through inverse scattering transform
DOI10.1063/1.4900895zbMath1319.35217OpenAlexW2022485986MaRDI QIDQ2934178
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Publication date: 11 December 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4900895
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)
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Cites Work
- Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schrödinger Hamiltonians
- Self-isospectral tri-supersymmetry in \(\mathcal P \mathcal T\)-symmetric quantum systems with pure imaginary periodicity
- Dynamical breaking of supersymmetry
- Supersymmetry across nanoscale heterojunction
- Linear superposition for a class of nonlinear equations
- Nonlinear localized modes in \(\mathcal{PT}\)-symmetric optical media with competing gain and loss
- A study of the bound states for square potential wells with position-dependent mass
- Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7)
- Exact solvability of potentials with spatially dependent effective masses
- The Bogoliubov-de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry
- Nonrelativistic Green's function for systems with position-dependent mass
- Chaos for a damped and forced KdV equation
- Some conservation laws for a forced KdV equation
- Gene-culture shock waves
- Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation
- Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential
- New supersymmetric partners for the associated Lamé potentials
- Stability of equations with a distributed delay, monotone production and nonlinear mortality
- Integrability of nonlinear wave equations and solvability of their initial value problem
- Yet another position-dependent mass quantum model
- New exact solutions of a generalized shallow water wave equation
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- Self-Isospectrality, Special Supersymmetry, and their Effect on the Band Structure
- Radial power-law position-dependent mass: cylindrical coordinates, separability and spectral signatures
- Reflectionless Transmission through Dielectrics and Scattering Potentials
- -fold supersymmetry in quantum systems with position-dependent mass
- Coherent state of a nonlinear oscillator and its revival dynamics
- COHERENT STATE OF THE EFFECTIVE MASS HARMONIC OSCILLATOR
- A new effective mass Hamiltonian and associated Lamé equation: bound states
- Classification of the line-soliton solutions of KPII
- Rogue waves, rational solutions, the patterns of their zeros and integral relations
- Singularities of complex-valued solutions of the two-dimensional Burgers system
- Soliton solutions of the KP equation with V-shape initial waves
- Soliton Solutions of the KP Equation and Application to Shallow Water Waves
- A systematic study on the exact solution of the position dependent mass Schr dinger equation
- Method for Solving the Korteweg-deVries Equation
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- Energy eigenvalues for the systems with position-dependent effective mass
- Nonlinear supersymmetric quantum mechanics: concepts and realizations
- Lattice modified KdV hierarchy from a Lax pair expansion
- Elliptic solutions of the defocusing NLS equation are stable
- Some remarks on Li–Sinai-type solutions of the Burgers equation
- Position dependent mass Schrödinger equation and isospectral potentials: Intertwining operator approach
- Shape-invariant quantum Hamiltonian with position-dependent effective mass through second-order supersymmetry
- The quantum effective mass Hamilton–Jacobi problem
- Nonlinearity and constrained quantum motion
- EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS
- Painlevé integrability of two-component nonautonomous nonlinear Schrödinger equations
- Extended trigonometric Cherednik algebras and nonstationary Schrödinger equations with delta-potentials
- $\mathcal {CPT}$ CPT -conserved effective mass Hamiltonians through first and higher order charge operator $\mathcal {C}$C in a supersymmetric framework
- Nonlinear Schroedinger equation in the presence of uniform acceleration
- Soliton solutions for quasilinear Schrödinger equations
- Integrals of nonlinear equations of evolution and solitary waves
- Electrons in Perturbed Periodic Lattices
- Motion of Electrons and Holes in Perturbed Periodic Fields
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