3 papers
nlin.SI2020
Quasilinear systems of Jordan block type and the mKP hierarchy
Lingling Xue, E. V. Ferapontov
We demonstrate that commuting quasilinear systems of Jordan block type are parametrised by solutions of the modified KP hierarchy. Systems of this form naturally occur as hydrodyna…
nlin.SI2018
Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
Hui Mao, Q. P. Liu, Lingling Xue
In this paper, we construct a Darboux transformation and the related Bäcklund transformation for the supersymmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposi…
nlin.SI2017
Darboux transformations for supersymmetric two-boson equation
Xiao-Xing Niu, Q. P. Liu, Lingling Xue
In this paper we construct Darboux transformations for the supersymmetric Two-boson equation. Two Darboux transformations and associated Bäcklund transformations are presented. For…