Long-time asymptotic behavior for the derivative Schrödinger equation with finite density type initial data
DOI10.1007/s11401-022-0371-0zbMath1503.35202OpenAlexW4310861946MaRDI QIDQ2105890
Publication date: 8 December 2022
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-022-0371-0
asymptotic stabilityRiemann-Hilbert problemlong-time asymptoticsderivative Schrödinger equationsoliton resolution\(\overline{\partial}\) steepest descent method
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)
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Cites Work
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- On the asymptotic stability of \(N\)-soliton solutions of the defocusing nonlinear Schrödinger equation
- 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
- Asymptotic analysis of soliton problems. An inverse scattering approach
- Long-time behavior of solutions to the derivative nonlinear Schrödinger equation for soliton-free initial data
- Long time asymptotic behavior of the focusing nonlinear Schrödinger equation
- Soliton resolution for the derivative nonlinear Schrödinger equation
- The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions
- Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time
- On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions
- Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions
- Defocusing NLS equation with nonzero background: large-time asymptotics in a solitonless region
- Long-time asymptotic behavior for the complex short pulse equation
- 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 resolution for the short-pulse equation
- Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
- Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions
- 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
- Long-time Asymptotics for the Camassa–Holm Equation
- Scattering and inverse scattering for first order systems
- The initial value problem for the derivative nonlinear Schrödinger equation in the energy space
- An exact solution for a derivative nonlinear Schrödinger equation
- Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
- Soliton generation for initial-boundary-value problems
- Existence of Global Solutions to the Derivative NLS Equation with the Inverse Scattering Transform Method
- Dispersive Asymptotics for Linear and Integrable Equations by the ∂ ¯ $$\overline {\partial }$$ Steepest Descent Method
- N-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
- N-soliton solutions and perturbation theory for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
- AnN-soliton solution to the DNLS equation based on revised inverse scattering transform
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