Exact solutions of the nonlocal Hirota equations

被引：38
|
作者：
Zuo, Da-Wei [1 ]
Zhang, Gui-Fang [1 ]
机构：
[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 93卷
关键词：
Nonlocal Hirota equations; Exact solutions; Bilinear method; DARK SOLITONS; SYSTEM;
D O I：
10.1016/j.aml.2019.01.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Hirota equation has been studied in the past years, which can be used to describe the nonlinear waves in the fluids and nonlinear optical fibers. In this paper, nonlocal Hirota equations with the space (S)-, time (T)- and space-time (ST)-symmetry have been discussed. By virtue of the Hirota bilinear method, higher-order solutions of generalized Hirota equations have been obtained. As the special cases, exact solutions of the S-symmetric, T-symmetric and ST-symmetric nonlocal Hirota equations have been listed. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：66 / 71
页数：6
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