The Bound‐State Soliton Solution of the Generalized Inhomogeneous Hirota Equation

Abstract

We develop the Riemann‐Hilbert (RH) method for the generalized inhomogeneous Hirota equation with zero boundary condition. The RH problem is related to two kinds of scattering data: simple poles and one ‐order pole. Here, we consider that when the scattering data have one or more higher order poles, the formulas of bound‐state (BS) solitons and multiple BS solitons are obtained, and the interaction between solitons and BS solitons are shown.