The complex MKDV equation with step-like initial data: Large time asymptotic analysis (Q6087451)

scientific article; zbMATH DE number 7775753

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English	The complex MKDV equation with step-like initial data: Large time asymptotic analysis	scientific article; zbMATH DE number 7775753

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instance of

scholarly article

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title

The complex MKDV equation with step-like initial data: Large time asymptotic analysis (English)

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published in

Journal of Mathematical Physics

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publication date

12 December 2023

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full work available at URL

https://arxiv.org/abs/2208.01856

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MaRDI publication profile

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cites work

Nonlinear wave propagation in micropolar media. I: The general theory

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Nonlinear wave propagation in micropolar media. II: Special cases, solitary waves and Painlevé analysis

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Soliton solutions for the new complex version of a coupled KdV equation and a coupled MKdV equation

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Superregular breathers in a complex modified Korteweg-de Vries system

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Stability of a solution of the form of a solitary wave for a nonlinear complex modified Korteweg-de Vries equation

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Stability of periodic traveling waves for complex modified Korteweg-de Vries equation

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Discrete rational and breather solution in the spatial discrete complex modified Korteweg-de Vries equation and continuous counterparts

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Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation

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The bound-state soliton solutions of the complex modified KdV equation

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Temporal asymptotics for soliton equations in problems with step initial conditions

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Saturation of modulational instability via complex Whitham deformations: Nonlinear Schrödinger equation

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Complex Whitham deformations in problems with ``integrable instability''

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A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

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Long‐time asymptotics of the nonlinear Schrödinger equation shock problem

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Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions

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Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability

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Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data

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Inverse scattering transform for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions

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On the Spectrum of the Dirac Operator and the Existence of Discrete Eigenvalues for the Defocusing Nonlinear Schrödinger Equation

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The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions

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Long-time behavior of the solution to the mKdV equation with step-like initial data

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On the Long-Time Asymptotic Behavior of the Modified Korteweg--de Vries Equation with Step-like Initial Data

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Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data

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Riemann–Hilbert problems and the mKdV equation with step initial data: short-time behavior of solutions and the nonlinear Gibbs-type phenomenon

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Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value

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Defocusing NLS equation with nonzero background: large-time asymptotics in a solitonless region

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The collisionless shock region for the long‐time behavior of solutions of the KdV equation

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Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line

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Mathematics(1 entry)

mardi Publication:6087451