Title :
The integrability and solvability for the variable coefficient higher-order nonlinear Schrödinger equation
Author :
Tao, Yongsheng ; He, Jingsong
Author_Institution :
Dept. of Math., Ningbo Univ., Ningbo, China
Abstract :
A more general variable coefficient higher-order nonlinear Schrödinger equation (VCHNLSE) in nonlinear fiber optics is studied by constructing a transformation which maps the VCHNLSE to the Sasa-satsuma equation (SSE), thus its solutions are expressed explicitly from the known ones of the SSE. One novel feature of this transformation is made up of two arbitrary functions so that we can design different integrable VCHNLSEs from different concerns.
Keywords :
Schrodinger equation; integral equations; nonlinear equations; SSE; Sasa-satsuma equation; arbitrary function; higher-order nonlinear Schrodinger equation; integrability; integrable VCHNLSE; nonlinear fiber optics; variable coefficient; Equations; Mathematical model; Optical fiber communication; Optical fiber dispersion; Optical fibers; Optical pulses; Solitons; SSE; VCHNLSE; bright soliton; designable integrability; two peak soltion;
Conference_Titel :
Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on
Conference_Location :
XianNing
Print_ISBN :
978-1-61284-458-9
DOI :
10.1109/CECNET.2011.5768446
