We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Conservation laws and Darboux transformation for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in nonlinear optics.
- Authors
Qi, Feng-Hua; Ju, Hong-Mei; Meng, Xiang-Hua; Li, Juan
- Abstract
In this paper, by Darboux transformation and symbolic computation we investigate the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients, which come from twin-core nonlinear optical fibers and waveguides, describing the effects of quintic nonlinearity on the ultrashort optical pulse propagation in the non-Kerr media. Lax pair of the equations is obtained, and the corresponding Darboux transformation is constructed. One-soliton solutions are derived; some physical quantities such as the amplitude, velocity, width, initial phases, and energy are, respectively, analyzed; and finally an infinite number of conservation laws are also derived. These results might be of some value for the ultrashort optical pulse propagation in the non-Kerr media.
- Subjects
CONSERVATION laws (Physics); DARBOUX transformations; SCHRODINGER equation; MATHEMATICAL variables; MATHEMATICAL models of optics; NONLINEAR optics
- Publication
Nonlinear Dynamics, 2014, Vol 77, Issue 4, p1331
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-014-1382-5