Finite difference scheme for a higher order nonlinear Schrödinger equation
DOI10.1007/s10092-019-0336-1zbMath1427.65147OpenAlexW2978114709MaRDI QIDQ2009764
Mauricio A. Sepúlveda C., Rodrigo Véjar-Asem, Marcelo Moreira Cavalcanti, Wellington José Corrêa
Publication date: 29 November 2019
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-019-0336-1
PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)
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Cites Work
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- A compact split step Padé scheme for higher-order nonlinear Schrödinger equation (HNLS) with power law nonlinearity and fourth order dispersion
- KdV equation in domains with moving boundaries
- Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: exponential and polynomial stabilization
- Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping
- Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients
- Finite-difference solutions of a non-linear Schrödinger equation
- Compact finite difference schemes with spectral-like resolution
- Periodic nonlinear Schrödinger equation and invariant measures
- Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
- Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
- On solving pentadiagonal linear systems via transformations
- Sasa-Satsuma equation, unstable plane waves and heteroclinic connections
- Sharp global well-posedness for a higher order Schrödinger equation
- Discrete Variational Derivative Method
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
- A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- The initial-boundary value problem for the Sasa-Satsuma equation on a finite interval via the Fokas method
- Exact envelope-soliton solutions of a nonlinear wave equation
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