Asymptotics behavior for the integrable nonlinear Schrödinger equation with quartic terms: Cauchy problem
From MaRDI portal
Publication:5121137
DOI10.1080/14029251.2020.1819605zbMath1441.37080OpenAlexW3083022112MaRDI QIDQ5121137
Publication date: 10 September 2020
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2020.1819605
long-time asymptoticsnonlinear steepest descent methodintegrable nonlinear Schrödinger equation with quartic terms
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items (1)
Cites Work
- Unnamed Item
- Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
- Long-time asymptotic for the Hirota equation via nonlinear steepest descent method
- Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Long-time asymptotics for the Hirota equation on the half-line
- Long-time asymptotics for the short pulse equation
- Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
- The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
- The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation
- Higher-order integrable evolution equation and its soliton solutions
- 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
- Riemann-Hilbert problem for Camassa-Holm equation with step-like initial data
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Long-time asymptotics for the Degasperis-Procesi equation on the half-line
- The Nonlinear Steepest Descent Method: Asymptotics for Initial-Boundary Value Problems
- Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data
- Decaying Long-Time Asymptotics for the Focusing NLS Equation with Periodic Boundary Condition
- Scattering and inverse scattering for first order systems
- Long-time asymptotics for the pure radiation solution of the sine—gordon equation
- A unified transform method for solving linear and certain nonlinear PDEs
- Leading-order temporal asymptotics of the modified nonlinear Schrödinger equation: solitonless sector
- An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation
- Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line
- Long‐Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability
- Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method
- Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane
- The Riemann–Hilbert Problem and Inverse Scattering
- Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data
- On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain
- Periodic boundary data for an integrable model of stimulated Raman scattering: long-time asymptotic behavior
- THE FOCUSING NONLINEAR SCHRÖDINGER EQUATION ON THE QUARTER PLANE WITH TIME-PERIODIC BOUNDARY CONDITION: A RIEMANN–HILBERT APPROACH
- A Riemann–Hilbert approach for the Degasperis–Procesi equation
This page was built for publication: Asymptotics behavior for the integrable nonlinear Schrödinger equation with quartic terms: Cauchy problem
