Darboux Transformation for the Hirota equation
Abstract
The Hirota equation is an integrable higher order nonlinear Schr\"odinger 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. The multisoliton and breather solutions of the Hirota equation are given explicitly.
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