A two-component Sasa-Satsuma equation: large-time asymptotics on the line
DOI10.1007/s00332-024-10015-9arXiv2309.16091OpenAlexW4392135945MaRDI QIDQ6123370
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Publication date: 4 March 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.16091
Cauchy problemRiemann-Hilbert problemlong-time asymptotic behaviornonlinear steepest descent methodtwo-component Sasa-Satsuma equation
Asymptotic behavior of solutions to PDEs (35B40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- On the asymptotic stability of \(N\)-soliton solutions of the defocusing nonlinear Schrödinger equation
- Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation
- Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge
- The algebraic representation for high order solution of Sasa-Satsuma equation
- Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system
- High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
- The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
- Long time asymptotic behavior of the focusing nonlinear Schrödinger equation
- The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation
- Soliton resolution for the derivative nonlinear Schrödinger equation
- Long-time asymptotics for an integrable evolution equation with a \(3 \times 3\) Lax pair
- Data-driven solutions and parameter discovery of the Sasa-Satsuma equation via the physics-informed neural networks method
- Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation
- Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions
- The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair
- Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation
- On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation
- Long-time asymptotics of a three-component coupled nonlinear Schrödinger system
- Asymptotics for the Sasa-Satsuma equation in terms of a modified Painlevé II transcendent
- Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons
- Painlevé II in random matrix theory and related fields
- Rogue wave spectra of the Sasa-Satsuma equation
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Painlevé-type asymptotics of an extended modified KdV equation in transition regions
- Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
- Long-time asymptotic behavior for the matrix modified Korteweg-de Vries equation
- The unified transform method for the Sasa–Satsuma equation on the half-line
- Water waves, nonlinear Schrödinger equations and their solutions
- The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights
- The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights
- Asymptotic Solutions of the Korteweg-deVries Equation
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
- The initial-boundary value problem for the Sasa-Satsuma equation on a finite interval via the Fokas method
- Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line
- Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method
- Binary Darboux transformation for the coupled Sasa-Satsuma equations
- 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
- Darboux transformation of a two‐component generalized Sasa–Satsuma equation and explicit solutions
- Airy and Painlevé asymptotics for the mKdV equation
- Long‐time asymptotics of the nonlinear Schrödinger equation shock problem
- A Riemann–Hilbert approach for the Degasperis–Procesi equation
- 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
- The Propagation of Nonlinear Wave Envelopes
- The defocusing nonlinear Schrödinger equation with a nonzero background: Painlevé asymptotics in two transition regions
- Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation
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