title: Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation.
abstract: The determinant representation of the n-fold Darboux transformation of the Hirota equation is given. Based on our analysis, the 1-soliton, 2-soliton, and breathers solutions are given explicitly. Further, the first order rogue wave solutions are given by a Taylor expansion of the breather solutions. In particular, the explicit formula of the rogue wave has several parameters, which is more general than earlier reported results and thus provides a systematic way to tune experimentally the rogue waves by choosing different values for them.
authors.affiliation: Department of Mathematics, Ningbo University, Ningbo, 315211 Zhejiang, People's Republic of China.
authors.forename: Yongsheng
authors.initials: Y
authors.lastname: Tao
authors.forename: Jingsong
authors.initials: J
authors.lastname: He