The Cauchy problem for the Schrödinger-KdV system
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Publication:632450
DOI10.1016/j.jde.2011.02.008zbMath1219.35290OpenAlexW1973704998MaRDI QIDQ632450
Publication date: 25 March 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.02.008
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (3)
WKB analysis of the Schrödinger-KdV system ⋮ Recurrent solutions of the Schrödinger-KdV system with boundary forces ⋮ The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line
Cites Work
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- Global well posedness and scattering for a class of nonlinear Schrödinger equations below the energy space.
- Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation
- Rough solutions for the periodic Schrödinger--Korteweg--de Vries system
- Scattering for the quartic generalised Korteweg-de Vries equation
- Global well-posedness of the KP-I initial-value problem in the energy space
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- On global existence and scattering for the wave maps equation
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
- Well-posedness for the Schrödinger-Korteweg-de Vries system
- Local and global results for wave maps I
- Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Introduction to nonlinear dispersive equations
- Global regularity of wave maps. II: Small energy in two dimensions
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