Soliton solutions of derivative nonlinear Schrödinger equations: conservative schemes and numerical simulation
DOI10.1016/J.PHYSD.2024.134372MaRDI QIDQ6650080
Publication date: 6 December 2024
Published in: Physica D (Search for Journal in Brave)
derivative nonlinear Schrödinger equationCrank-Nicolson methodsoliton solutiondiscrete conservative law
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Well-posedness for a generalized derivative nonlinear Schrödinger equation
- Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations
- Breather and double-pole solutions of the derivative nonlinear Schrödinger equation from optical fibers
- Global well-posedness for the derivative nonlinear Schrödinger equation in \(H^{\frac {1}{2}} (\mathbb{R})\)
- Rational solutions of the general nonlinear Schrödinger equation with derivative
- Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrödinger-KdV equation
- On the derivative nonlinear Schrödinger equation
- Finite difference discretization of the Kuramoto-Sivashinsky equation
- Jost solutions and quantum conserved quantities of an integrable derivative nonlinear Schrödinger model
- Specific features of the numerical solution of problems for a generalized nonlinear Schrödinger equation
- Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\)
- Optimal local well-posedness for the periodic derivative nonlinear Schrödinger equation
- Global well-posedness for the derivative nonlinear Schrödinger equation
- Stable modes of derivative nonlinear Schrödinger equation with super-Gaussian and parabolic potential
- Two-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation
- Darboux transformation of the second-type derivative nonlinear Schrödinger equation
- A second order operator splitting numerical scheme for the ``good Boussinesq equation
- Global well-posedness for Schrödinger equations with derivative
- Modified nonlinear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasmas
- Multisoliton solutions of a derivative nonlinear Schrödinger equation
- High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations
- Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation
- Alfven solitons
- Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data
- On smooth solutions to the initial value problem for the mixed nonlinear Schrödinger equations
- The initial value problem for the derivative nonlinear Schrödinger equation in the energy space
- An exact solution for a derivative nonlinear Schrödinger equation
- Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type
- The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
- Highly accurate finite difference method for coupled nonlinear Schrödinger equation
- A <scp>Fourier</scp> pseudospectral method for the “good” <scp>Boussinesq</scp> equation with second‐order temporal accuracy
- AnN-soliton solution to the DNLS equation based on revised inverse scattering transform
- On the Cauchy problem for the derivative nonlinear Schrodinger equation with periodic boundary condition
- Conservativity, accuracy, and asymptotic properties of numerical methods for nonlinear Schrödinger type equations
- High order accurate and convergent numerical scheme for the strongly anisotropic Cahn–Hilliard model
- Crank-Nicolson difference scheme for the derivative nonlinear Schrödinger equation with the Riesz space fractional derivative
This page was built for publication: Soliton solutions of derivative nonlinear Schrödinger equations: conservative schemes and numerical simulation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6650080)
