On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation

Panayotounakos, DE; Zarmpoutis, TI; Siettos, CI

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Zarmpoutis, TI	en
dc.contributor.author	Siettos, CI	en
dc.date.accessioned	2014-03-01T11:47:07Z
dc.date.available	2014-03-01T11:47:07Z
dc.date.issued	2012	en
dc.identifier.issn	09391533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/38091
dc.subject	Closed-form/parametric solutions	en
dc.subject	Cubic nonlinear Schrödinger equation	en
dc.subject	Emden-Fowler equations	en
dc.title	On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation	en
heal.type	other	en
heal.identifier.primary	10.1007/s00419-012-0658-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-012-0658-9	en
heal.publicationDate	2012	en
heal.abstract	We propose a new approach for the construction of the closed-form solutions of standing waves of the cubic nonlinear Schrödinger equation (NLS). Through appropriate functional transformations, we reduce the radially symmetric NLS into an Emden-Fowler equation whose solution results to the derivation of the closed forms of the standing waves. We also derive the necessary restrictions under which the derived solutions are admissible. © 2012 Springer-Verlag.	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-012-0658-9	en
dc.identifier.spage	1	en
dc.identifier.epage	12	en