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A new supersymmetric equation is proposed for the Sawada-Kotera equation. The integrability of this equation is shown by the existence of Lax representation and infinite conserved quantities and aâ€¦ (More)

- Boling Guo, Liming Ling, Q. P. Liu
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

In this paper, we construct a generalized Darboux transformation for the nonlinear SchrÃ¶dinger equation. The associated N-fold Darboux transformation is given in terms of both a summation formula andâ€¦ (More)

- Heng Chun Hu, Q. P. Liu
- 2002

A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV system. It is shown that this Darboux transformation can be constructed by means of two methods: PainlevÃ© analysis andâ€¦ (More)

- Q. P. Liu, Manuel MaÃ±as
- 1997

In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It isâ€¦ (More)

A proper bilinear form is proposed for the N = 1 supersymmetric modified Korteweg-de Vries equation. The bilinear BÃ¤cklund transformation for this system is constructed. As applications, someâ€¦ (More)

- Q. P. Liu, Manuel MaÃ±as
- 1997

Darboux transformation is reconsidered for the supersymmetric KdV system. By iterating the Darboux transformation, a supersymmetric extension of the Crum transformation is obtained for theâ€¦ (More)

- Ritaban Dutta, Daniel V. Smith, Yanfeng Shu, Q. P. Liu, Petra Doust, Shaun Heidrich
- IEEE SENSORS 2014 Proceedings
- 2014

In this paper a novel application of salad leaf disease detection has been developed using a combination of machine learning algorithms and Hyper Spectral sensing. Various field experiments wereâ€¦ (More)

- Q. P. Liu
- 1998

The constrained Modified KP hierarchy is considered from the viewpoint of modification. It is shown that its second Poisson bracket, which has a rather complicated form, is associated to a vastlyâ€¦ (More)

- Delong Yu, Q. P. Liu, Shikun Wang
- 2001

A Darboux transformation is constructed for the modified Veselov-Novikov equation .

- Meng-xia Zhang, Q. P. Liu, Ya-li Shen, Ke Wu
- 2008

The N = 2 supersymmetric KdV equations are studied within the framework of Hirotaâ€™s bilinear method. For two such equations, namely N = 2, a = 4 and N = 2, a = 1 supersymmetric KdV equations, weâ€¦ (More)