The interaction of long and short waves in dispersive media
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Publication:2832467
DOI10.1088/1751-8113/49/41/415501zbMath1349.76030arXiv1604.04317OpenAlexW2340269627MaRDI QIDQ2832467
Nghiem V. Nguyen, Benjamin L. Segal, Bernard Deconinck
Publication date: 11 November 2016
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.04317
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (6)
Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass ⋮ Some models for the interaction of long and short waves in dispersive media. I: Derivation ⋮ Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-line ⋮ On the nonintegrability of equations for long- and short-wave interactions ⋮ The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line ⋮ Existence of generalized solitary wave solutions of the coupled KdV-CKdV system
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