4 papers
Well-posedness for the -problem relevant to the AKNS spectral problem
Junyi Zhu, Huan Liu
The well-posedness for the Dbar problem associated with the AKNS spectral problem is considered. In general, the relevant Dbar equation with normalization condition is quivalent to…
Dbar-approach to coupled nonlocal NLS equation and general nonlocal Reduction
Xueru Wang, Junyi Zhu
The coupled nonlocal NLS equation is studied by virtue of the Dbar-problem. Two spectral transform matrices are introduced to define two associated Dbar-problems. The re…
Inverse scattering transform for the Tzitzéica equation
Linlin Wang, Junyi Zhu
The inverse scattering transform is extended to investigate the Tzitzéica equation. A set of sectionally analytic eigenfunctions and auxiliary eigenfunctions are introduced. We not…
Dbar dressing method to nonlinear Schrödinger equation with nonzero boundary conditions
Junyi Zhu, Xueling Jiang, Xueru Wang
The Dbar dressing method is extended to study the focusing/defocusing nonlinear Schrödinger (NLS) equation with nonzero boundary condition. A special type of complex function is co…