Abstract
We present a determinant representation of generalized Darboux transformation for a generalized mixed nonlinear Schrödinger equation, and obtain several novel solutions with nonzero boundary condition. A complete classification of first-order solutions with a nonzero boundary condition is considered, and several second-order solutions, including some interesting structures, are discussed. Furthermore, by selecting special parameters in the equation, several novel kinds of solutions for the equation are displayed. Finally, we discuss the effects of parameter $$\beta $$ , representing quintic nonlinearity term, on the breather solutions.
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