Periodic waves and solitons in a nonlinear fibre with resonant impurities
S. B. CavalcantiDepartamento de Física, Universidade Federal de Alagoas, Cidade Universitária, Maceió-AL, 57072-970, Brazil; e-mail: [email protected]A. M. KamchatnovInstitute of Spectroscopy, Russian Academy of Sciences, Troitsk 142190, Moscow Region, Russia; e-mail: [email protected] ; Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, Brazil; e-mail: [email protected]R. A. KraenkelInstituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, Brazil; e-mail: [email protected]Bakhram UmarovInstituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, Brazil; e-mail: [email protected] ; Physical-Technical Institute, Uzbek Academy of Sciences, 700084 Tashkent-84, G. Mavlyanov streat, 2-b, Uzbekistan; e-mail; [email protected]
ABI
Аннотация
We shall consider a coupled nonlinear Schrödinger equation-Bloch system of equations describing the propagation of a single pulse through a nonlinear dispersive waveguide in the presence of resonances; this could be, for example, a doped optical fibre. By making use of the integrability of the dynamic equations, we shall apply the finite-gap integration method to obtain periodic solutions for this system. Next, we consider the problem of the formation of solitons at a sharp front pulse and, by means of the Whitham modulational theory, we derive the amplitude and velocity of the largest soliton.
Перевод пока недоступен
Темы
Идентификаторы
Цитирования и источники
Цитирований: 0Использованных источников: 15
Показатели — AkademScholar · Скоро