title: Novel asymmetric representation method for solving the higher-order Ginzburg-Landau equation.
abstract: In ultrafast optics, optical pulses are generated to be of shorter pulse duration, which has enormous significance to industrial applications and scientific research. The ultrashort pulse evolution in fiber lasers can be described by the higher-order Ginzburg-Landau (GL) equation. However, analytic soliton solutions for this equation have not been obtained by use of existing methods. In this paper, a novel method is proposed to deal with this equation. The analytic soliton solution is obtained for the first time, and is proved to be stable against amplitude perturbations. Through the split-step Fourier method, the bright soliton solution is studied numerically. The analytic results here may extend the integrable methods, and could be used to study soliton dynamics for some equations in other disciplines. It may also provide the other way to obtain two-soliton solutions for higher-order GL equations.
authors.affiliation: State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China.|School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing 100876, China.
authors.forename: Pring
authors.initials: P
authors.lastname: Wong
authors.affiliation: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
authors.forename: Lihui
authors.initials: L
authors.lastname: Pang
authors.affiliation: State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China.|School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing 100876, China.
authors.forename: Ye
authors.initials: Y
authors.lastname: Wu
authors.affiliation: State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China.|School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing 100876, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Lei
authors.affiliation: State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China.|School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing 100876, China.|Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
authors.forename: Wenjun
authors.initials: W
authors.lastname: Liu