On the stability of the dnoidal waves for the Schrödinger-KdV system
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Publication:6668384
DOI10.1090/PROC/17065MaRDI QIDQ6668384
Sevdzhan Hakkaev, Atanas Stefanov
Publication date: 22 January 2025
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
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- Rough solutions for the periodic Schrödinger--Korteweg--de Vries system
- Stability theory of solitary waves in the presence of symmetry. II
- Well-posedness of the Cauchy problem for the coupled system of the Schrödinger-KdV equations
- Well-posedness for the Schrödinger-Korteweg-de Vries system
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- 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
- Spectral Stability for Classical Periodic Waves of the Ostrovsky and Short Pulse Models
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