Soliton solutions of derivative nonlinear Schrödinger equations: conservative schemes and numerical simulation (Q6650080)

scientific article; zbMATH DE number 7955334

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English	Soliton solutions of derivative nonlinear Schrödinger equations: conservative schemes and numerical simulation	scientific article; zbMATH DE number 7955334

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title

Soliton solutions of derivative nonlinear Schrödinger equations: conservative schemes and numerical simulation (English)

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6 December 2024

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zbMATH Keywords

derivative nonlinear Schrödinger equation

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soliton solution

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discrete conservative law

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Crank-Nicolson method

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Breather and double-pole solutions of the derivative nonlinear Schrödinger equation from optical fibers

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Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations

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An exact solution for a derivative nonlinear Schrödinger equation

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Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation

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Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas

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Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method

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The initial value problem for the derivative nonlinear Schrödinger equation in the energy space

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On the derivative nonlinear Schrödinger equation

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Global well-posedness for the derivative nonlinear Schrödinger equation

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Global well-posedness for the derivative nonlinear Schrödinger equation in \(H^{\frac {1}{2}} (\mathbb{R})\)

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Jost solutions and quantum conserved quantities of an integrable derivative nonlinear Schrödinger model

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Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrödinger-KdV equation

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Highly accurate finite difference method for coupled nonlinear Schrödinger equation

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Global well-posedness for Schrödinger equations with derivative

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A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

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Optimal local well-posedness for the periodic derivative nonlinear Schrödinger equation

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Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data

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Well-posedness for a generalized derivative nonlinear Schrödinger equation

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On the Cauchy problem for the derivative nonlinear Schrodinger equation with periodic boundary condition

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Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\)

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Q3935585

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Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type

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On smooth solutions to the initial value problem for the mixed nonlinear Schrödinger equations

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Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation

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Alfven solitons

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The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation

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An<i>N</i>-soliton solution to the DNLS equation based on revised inverse scattering transform

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Rational solutions of the general nonlinear Schrödinger equation with derivative

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Two-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

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Stable modes of derivative nonlinear Schrödinger equation with super-Gaussian and parabolic potential

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Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation

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Conservativity, accuracy, and asymptotic properties of numerical methods for nonlinear Schrödinger type equations

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Specific features of the numerical solution of problems for a generalized nonlinear Schrödinger equation

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Crank-Nicolson difference scheme for the derivative nonlinear Schrödinger equation with the Riesz space fractional derivative

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Finite difference discretization of the Kuramoto-Sivashinsky equation

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High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations

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Darboux transformation of the second-type derivative nonlinear Schrödinger equation

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A <scp>Fourier</scp> pseudospectral method for the “good” <scp>Boussinesq</scp> equation with second‐order temporal accuracy

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A second order operator splitting numerical scheme for the ``good'' Boussinesq equation

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Q4714145

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An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation

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High order accurate and convergent numerical scheme for the strongly anisotropic Cahn–Hilliard model

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Identifiers

DOI

10.1016/j.physd.2024.134372

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6650080