Complete and orthonormal eigenfunctions of excitations to a one-dimensional dark soliton

DOI10.1016/j.physleta.2007.07.032zbMath1217.35153OpenAlexW2062975267MaRDI QIDQ552545

Nicolas Compagnon, Guoxiang Huang

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.07.032

zbMATH Keywords

eigenfunctionsexcitationsdark solitons

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Soliton equations (35Q51)

Related Items (1)

Unsteady flow of micropolar fluid on a magnetized sheet: Effects of magnetic and microrotation parameters on wall couple stress and skin friction

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear waves in fluids: Recent advances and modern applications. CISM summer school, Udine, Italy, September 20--24, 2004.
• A direct perturbation theory for dark solitons based on a complete set of the squared Jost solutions
• Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation

This page was built for publication: Complete and orthonormal eigenfunctions of excitations to a one-dimensional dark soliton