Traveling wave solutions for a quantum hydrodynamic model

DOI10.1016/S0893-9659(00)00149-XzbMath0978.82103OpenAlexW2034616421WikidataQ126298097 ScholiaQ126298097MaRDI QIDQ5938915

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Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00149-x

zbMATH Keywords

Painlevé II equationquantum hydrodynamicstraveling wave

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Statistical mechanics of superfluids (82D50) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

A REVIEW ON THE QUANTUM DRIFT DIFFUSION MODEL ⋮ LOCAL EXISTENCE OF SOLUTIONS TO THE TRANSIENT QUANTUM HYDRODYNAMIC EQUATIONS ⋮ Existence of standing and traveling waves in quantum hydrodynamics with viscosity ⋮ Traveling waves for quantum hydrodynamics with nonlinear viscosity ⋮ Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity ⋮ Traveling wave solutions for a quantum hydrodynamic model ⋮ Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity ⋮ Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity

Cites Work

• A connection formula for the second Painlevé transcendent
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• Asymptotics for the painlevé II equation
• Traveling wave solutions for a quantum hydrodynamic model
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