On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System
From MaRDI portal
Publication:5003331
DOI10.1137/20M137553XzbMath1469.35035arXiv2010.14614OpenAlexW3180613192MaRDI QIDQ5003331
Publication date: 21 July 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.14614
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
- Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity
- The Cauchy problem of the Schrödinger-Korteweg-de Vries system.
- On the well-posedness of the Schrödinger-Korteweg-de Vries system
- The Cauchy problem for a Schrödinger-Korteweg-de Vries system with rough data.
- Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system
- Interaction equations for short and long dispersive waves
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass
- Breathers and the dynamics of solutions in KdV type equations
- Asymptotic behavior of solutions of the dispersion generalized Benjamin-Ono equation
- KdV is well-posed in \(H^{-1}\)
- Nonexistence of small, odd breathers for a class of nonlinear wave equations
- Asymptotic stability of solitons for the Benjamin-Ono equation
- Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space
- Well-posedness for the Schrödinger-Korteweg-de Vries system
- On two-dimensional packets of capillary-gravity waves
- The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions
- Existence and stability of ground-state solutions of a Schrödinger—KdV system
- A bilinear estimate with applications to the KdV equation
- On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation
- On local energy decay for large solutions of the Zakharov-Kuznetsov equation
- On the asymptotic behavior of solutions to the Benjamin-Ono equation
- Dispersive blow-up and persistence properties for the Schrödinger–Korteweg–de Vries system
- Introduction to nonlinear dispersive equations
