Long-Time Asymptotics for the Nonlocal MKdV Equation*
From MaRDI portal
Publication:3387739
DOI10.1088/0253-6102/71/5/475zbMath1452.35169arXiv1804.10863OpenAlexW3101729883MaRDI QIDQ3387739
Jian Xu, Feng-Jing He, En-gui Fan
Publication date: 13 January 2021
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.10863
Riemann-Hilbert problemnonlocal mKdV equationDeift-Zhou nonlinear steepest-descentlongtime asymptotics
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (14)
Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations ⋮ \( \overline{\partial} \)-dressing method for the nonlocal mKdV equation ⋮ Inverse scattering transform for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation ⋮ Solitary wave solutions and integrability for generalized nonlocal complex modified Korteweg-de Vries (cmKdV) equations ⋮ Long-time asymptotics for a mixed nonlinear Schrödinger equation with the Schwartz initial data ⋮ Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data ⋮ Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions ⋮ Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions ⋮ Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data ⋮ A hierarchy of nonlocal nonlinear evolution equations and \(\overline{\partial} \)-dressing method ⋮ On a Riemann-Hilbert problem for the focusing nonlocal mKdV equation with step-like initial data ⋮ Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation ⋮ Long time asymptotics for the nonlocal mKdV equation with finite density initial data ⋮ Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
- Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- The isomonodromic deformation method in the theory of Painlevé equations
- Long-time asymptotics for the short pulse equation
- The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value
- Nonlinear Fourier transforms for the sine-Gordon equation in the quarter plane
- Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system
- Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Long-time Asymptotics for the Camassa–Holm Equation
- Scattering and inverse scattering for first order systems
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Asymptotics of Solutions to the Modified Nonlinear Schrödinger Equation: Solitons on a Nonvanishing Continuous Background
- Long-time asymptotics for the pure radiation solution of the sine—gordon equation
- Higher order asymptotics of the modified non-linear schrödinger equation
- Transformations between Nonlocal and Local Integrable Equations
- Integrable Nonlocal Nonlinear Equations
- The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity
- Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
This page was built for publication: Long-Time Asymptotics for the Nonlocal MKdV Equation*
