Stability for the quadratic derivative nonlinear Schrödinger equation and applications to the Korteweg-Kirchhoff type Euler equations for quantum hydrodynamics

DOI10.1016/j.na.2019.02.011zbMath1421.35330OpenAlexW2921423807WikidataQ62472556 ScholiaQ62472556MaRDI QIDQ2312587

Paolo Antonelli, Hao Zheng, Pierangelo Marcati

Publication date: 17 July 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.02.011

zbMATH Keywords

stabilitynonlinear Schrödinger equationquantum hydrodynamicsKorteweg-Kirchhoff type Euler equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)

Related Items (2)

Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation ⋮ An intrinsically hydrodynamic approach to multidimensional QHD systems

Cites Work

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