文章基本信息

标题：Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions
本地全文：下载
作者：Deng-Shan Wang ; Fei Chen ; Xiao-Yong Wen 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：67
DOI：10.1186/s13662-016-0780-z
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate the exact solutions and conservation laws of a general Hirota equation. Firstly, the N-fold Darboux transformation of this equation is proposed. Then by choosing three kinds of seed solutions, the multisoliton solutions, breather solutions, and rogue wave solutions of the general Hirota equation are obtained based on the Darboux transformation. Finally, the conservation laws of this equation are derived by using its linear spectral problem. The results in this paper may be useful in the study of ultrashort optical solitons in optical fibers.
关键词：Darboux transformation ; multisoliton solutions ; breather solutions ; rogue wave solutions ; optical fibers