Internal vibrations of nonlocal nonlinear Schrödinger soliton

Autor:	Evgeny V. Doktorov
Rok vydání:	2009
Předmět:	Physics Continuous spectrum General Physics and Astronomy Nonlinear system symbols.namesake Quantum nonlocality Quantum mechanics symbols Soliton Propagation constant Self-phase modulation Nonlinear Sciences::Pattern Formation and Solitons Nonlinear Schrödinger equation Eigenvalues and eigenvectors
Zdroj:	Physics Letters A. 374:247-251
ISSN:	0375-9601
DOI:	10.1016/j.physleta.2009.10.067
Popis:	We prove that the nonlocality is a source of the internal mode generation in a bright soliton of the nonlocal nonlinear Schrodinger equation, at least in the weak nonlocality limit. The internal mode bifurcates from the edge of the continuous spectrum of the linearized eigenvalue problem into the gap of this spectrum. A dependence of the internal mode propagation constant position in the gap on the nonlocality rate is established. It is shown that the vibration amplitude of the soliton decays inversely proportional to the propagation distance, as in the local models.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::78f7d8ef2d13b57e558be67970758fff https://doi.org/10.1016/j.physleta.2009.10.067 Zobrazit plný text záznamu Full Text from ScienceDirect