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nlin.SI2011★ 11 cited
A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension
Kai Tian, Ziemowit Popowicz, Q. P. Liu
For the Harry Dym hierarchy, a non-standard Lax formulation is deduced from that of Korteweg-de Vries (KdV) equation through a reciprocal transformation. By supersymmetrizing this…
nlin.SI2011★ 7 cited
The transformations between N=2 supersymmetric KdV and HD equations
Kai Tian, Q. P. Liu
The N=2 supercomformal transformations are employed to study supersymmetric integrable systems. It is proved that two known N=2 supersymmetric Harry Dym equations are transformed i…
nlin.SI2011★ 982 cited
Nonlinear Schrödinger Equation: Generalized Darboux Transformation and Rogue Wave Solutions
Boling Guo, Liming Ling, Q. P. Liu
In this paper, we construct a generalized Darboux transformation for nonlinear Schrödinger equation. The associated -fold Darboux transformation is given both in terms of a summ…