Showing math-phShow all
2 papers · 1 filter
math-ph2026
Arbitrary-genus dark soliton gases in the defocusing nonlinear Schrödinger hydrodynamics
Marco Bertola, Deng-Shan Wang, Peng Yan +1
The defocusing nonlinear Schrödinger hydrodynamics supports exact dark solitons under finite density boundary conditions. However, the dark soliton gas, an interacting ensemble of…
math-ph2023
Focusing and defocusing mKdV equation with fully asymmetric nonzero boundary conditions: the inverse scattering transform
Zhao Yi, Zhu Dinghao
In this paper, we investigate the inverse scattering transform(IST) for the focusing and defocusing mKdV equation with fully asymmetric nonzero boundary conditions. Our analysis fo…