Solitary wave solutions as a signature of the instability in the discrete nonlinear Schrödinger equation

Autor:	Edward Arévalo
Rok vydání:	2009
Předmět:	Physics Nonlinear system symbols.namesake Conjecture Classical mechanics Cubic nonlinearity Modulation (music) symbols General Physics and Astronomy Signature (topology) Nonlinear Sciences::Pattern Formation and Solitons Nonlinear Schrödinger equation Instability
Zdroj:	Physics Letters A. 373:3541-3546
ISSN:	0375-9601
DOI:	10.1016/j.physleta.2009.07.082
Popis:	The effect of instability on the propagation of solitary waves along one-dimensional discrete nonlinear Schrodinger equation with cubic nonlinearity is revisited. A self-contained quasicontinuum approximation is developed to derive closed-form expressions for small-amplitude solitary waves. The notion that the existence of nonlinear solitary waves in discrete systems is a signature of the modulation instability is used. With the help of this notion we conjecture that instability effects on moving solitons can be qualitative estimated from the analytical solutions. Results from numerical simulations are presented to support this conjecture.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::405bc20428287ce022e15a9067e0b7d3 https://doi.org/10.1016/j.physleta.2009.07.082 Zobrazit plný text záznamu Full Text from ScienceDirect