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19952020
most citedNonlinear Schrödinger Equation: Generalized Darboux Transformation and Rogue Wave Solutions

982 citations

Showing 2011Show all

7 papers · 1 filter

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…

cond-mat.soft2011

Prandtl number effects in MRT Lattice Boltzmann models for shocked and unshocked compressible fluids

Feng Chen, Aiguo Xu, Guangcai Zhang +1

For compressible fluids under shock wave reaction, we have proposed two Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) models [F. Chen, et al, EPL \textbf{90} (2010) 54003;…

cond-mat.mtrl-sci2011★ 16 cited

Adsorption and dissociation of water on Zr(0001) with density-functional theory studies

Shuang-Xi Wang, Ping Zhang, Peng Zhang +2

The adsorption and dissociation of isolated water molecule on Zr(0001) surface are theoretically investigated for the first time by using density-functional theory calculations. Tw…

cond-mat.mtrl-sci2011★ 8 cited

Adsorption and diffusion of H2O molecule on the Be(0001) surface: A density-functional theory study

Shuang-Xi Wang, Peng Zhang, Jian Zhao +2

Using first-principles calculations, we systematically study the adsorption behavior of a single molecular HO on the Be(0001) surface. We find that the favored molecular adso…

math.NA2011★ 1 cited

A posteriori error estimators suitable for moving finite element methods under anisotropic meshes

Xiaobo Yin, Hehu Xie

In this paper, we give a new type of a posteriori error estimators suitable for moving finite element methods under anisotropic meshes for general second-order elliptic problems. T…