dc.contributor.author | Amiranashvili, Shalva | |
dc.contributor.author | Čiegis, Raimondas | |
dc.contributor.author | Radžiūnas, Mindaugas | |
dc.date.accessioned | 2023-09-18T20:39:07Z | |
dc.date.available | 2023-09-18T20:39:07Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 1937-5093 | |
dc.identifier.other | (BIS)VGT02-000030269 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/151610 | |
dc.description.abstract | We present and analyze di erent splitting algorithms for numerical solution of the both classical and generalized nonlinear Schr odinger equations describing propagation of wave packets with special emphasis on applications to nonlinear ber-optics. The considered generalizations take into account the higher-order corrections of the linear di erential dispersion operator as well as the saturation of nonlinearity and the self-steepening of the eld envelope function. For stabilization of the pseudo-spectral splitting schemes for generalized Schr odinger equations a regularization based on the approximation of the derivatives by the low number of Fourier modes is proposed. To illustrate the theoretically predicted performance of these schemes several numerical experiments have been done. In particular, we compute real-world examples of extreme pulses propagating in silica bers. | eng |
dc.format | PDF | |
dc.format.extent | p. 215-234 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.source.uri | https://aimsciences.org/journals/displayArticlesnew.jsp?paperID=10944 | |
dc.subject | FM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes | |
dc.title | Numerical methods for a class of generalized nonlinear Schrodinger equations | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 41 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Weierstrass Institute for Applied Analysis and Stochastics | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.ltspecializations | L106 - Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies | |
dc.subject.en | Generalized nonlinear Schrodinger equations | |
dc.subject.en | Finite diiference method | |
dc.subject.en | Splitting method | |
dc.subject.en | Spectral method | |
dcterms.sourcetitle | Kinetic and related models | |
dc.description.issue | iss. 2 | |
dc.description.volume | Vol. 8 | |
dc.publisher.name | American Institute of Mathematical Sciences | |
dc.publisher.city | Springfield | |
dc.identifier.doi | 10.3934/krm.2015.8.215 | |
dc.identifier.elaba | 8608756 | |