Exact solutions of the nonlocal Hirota equations. (July 2019)

• Record Type: Journal Article
• Authors: Zuo, Da-Wei; Zhang, Gui-Fang
• Is Part Of: Applied mathematics letters. Volume 93(2019)
• Page Start: 66
• Page End: 71
• Publication Date: 2019-07
• Subjects: Nonlocal Hirota equations -- Exact solutions -- Bilinear method; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.01.038
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: 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.