The coupled Hirota equations with a \(3\times 3\) Lax pair: Painlevé-type asymptotics in transition zone Lax pair: Painlevé-type asymptotics in transition zone
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Publication:6670573
DOI10.1111/SAPM.12745MaRDI QIDQ6670573
Publication date: 23 January 2025
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Riemann-Hilbert problems in context of PDEs (35Q15)
Cites Work
- Dark and composite rogue waves in the coupled Hirota equations
- Long-time asymptotics for the initial-boundary value problem of coupled Hirota equation on the half-line
- Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent
- Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system
- Generalized Darboux transformation and localized waves in coupled Hirota equations
- Long-time asymptotic behavior of the solution to the coupled Hirota equations with decaying initial data
- Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy
- Asymptotics for the Sasa-Satsuma equation in terms of a modified Painlevé II transcendent
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Well-posedness for the Cauchy problem of coupled Hirota equations with low regularity data
- Painlevé-type asymptotics of an extended modified KdV equation in transition regions
- Long-time asymptotic behavior for the matrix modified Korteweg-de Vries equation
- The nonlinear steepest descent method: asymptotics for initial-boundary value problems
- Painlevé-Type Asymptotics for the Camassa–Holm Equation
- Bright and dark optical solitons in coupled higher-order nonlinear Schrodinger equations through singularity structure analysis
- Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line
- The Riemann–Hilbert Problem and Inverse Scattering
- Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems
- Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems
- Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy
- Airy and Painlevé asymptotics for the mKdV equation
- The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
- The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity
- The Generating Function for the Airy Point Process and a System of Coupled Painlevé II Equations
- Dark soliton solutions of the coupled Hirota equation in nonlinear fiber
- The defocusing nonlinear Schrödinger equation with a nonzero background: Painlevé asymptotics in two transition regions
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