Long-time asymptotics for the reverse space-time nonlocal Hirota equation with decaying initial value problem: without solitons
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Publication:6565530
DOI10.1007/s10255-024-1121-8zbMATH Open1542.35064MaRDI QIDQ6565530
Publication date: 2 July 2024
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Riemann-Hilbert problemlong-time asymptoticsnonlinear steepest descent methodreverse space-time nonlocal Hirota equation
Asymptotic behavior of solutions to PDEs (35B40) Integral representations of solutions to PDEs (35C15) Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25)
Cites Work
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- Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
- Long-time asymptotic for the Hirota equation via nonlinear steepest descent method
- Long-time asymptotics for the Hirota equation on the half-line
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- Semiclassical limit of the focusing NLS: Whitham equations and the Riemann-Hilbert problem approach
- Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation
- Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation
- Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal \(\mathcal{PT}\) symmetric nonlinear Schrödinger equation
- \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm
- Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data
- Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
- Inverse scattering transformation for generalized nonlinear Schrödinger equation
- Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
- 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
- Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
- Long-Time Asymptotics for the Nonlocal MKdV Equation*
- Long-time Asymptotics for the Camassa–Holm Equation
- Long-time asymptotics for the pure radiation solution of the sine—gordon equation
- Method for Solving the Korteweg-deVries Equation
- Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
- Existence of Global Solutions to the Derivative NLS Equation with the Inverse Scattering Transform Method
- Integrable nonlocal Hirota equations
- Long‐time asymptotics of the nonlinear Schrödinger equation shock problem
- Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
- Nonlocal continuous Hirota equation: Darboux transformation and symmetry broken and unbroken soliton solutions
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