Yılmaz, Halis2024-04-242024-04-242022Yılmaz, H. (2022). Darboux transformation for the hirota equation. Journal of Mathematical Physics, Analysis, Geometry, 18(1), 136-152.1812-9471https://doi.org/10.15407/mag18.01.136https://hdl.handle.net/11468/23639The 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.eninfo:eu-repo/semantics/openAccessBreather solutionsDarboux transformationHirota equationMultisoliton solutionsQuasideterminant solutionsRogue wave solutionsArticle1811361522-s2.0-8512914361610.15407/mag18.01.136Q4