Darboux transformation for the hirota equation

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Tarih

2022

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.