Darboux transformation for the hirota equation
Yükleniyor...
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
B.Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Hirota equation is an integrable higher order nonlinear Schrödinger type equation which describes the propagation of ultrashort light pulses in optical fibers. We present a standard Darboux transformation for the Hirota equation and then construct its quasideterminant solutions. As examples, the multi-soliton, breather and rogue wave solutions of the Hirota equation are given explicitly.
Açıklama
Anahtar Kelimeler
Breather solutions, Darboux transformation, Hirota equation, Multisoliton solutions, Quasideterminant solutions, Rogue wave solutions
Kaynak
Journal of Mathematical Physics, Analysis, Geometry
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
18
Sayı
1
Künye
Yılmaz, H. (2022). Darboux transformation for the hirota equation. Journal of Mathematical Physics, Analysis, Geometry, 18(1), 136-152.
