The partial derivative-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions

We study the defocusing Hirota equation with nonzero boundary condition by using the partial derivative-dressing method. The partial derivative-problem with non-canonical normalization conditions is introduced. The Lax pair of the defocusing Hirota equation with nonzero boundary condition is derived from an asymptotic expansion method. The N-soliton solutions are constructed under the selected special spectral transformation matrix, and the dynamic behavior of soliton solutions isanalyzed.

Automated summary

The defocusing Hirota equation with nonzero boundary condition is studied using the partial derivative-dressing method. A partial derivative-problem with non-canonical normalization conditions is introduced. The Lax pair of the defocusing Hirota equation with nonzero boundary condition is derived using an asymptotic expansion method. N-soliton solutions are constructed under a selected special spectral transformation matrix, and the dynamic behavior of soliton solutions is analyzed.