We obtain the bi-Hamiltonian structure of the super KP hierarchy based on the even super KP operator Λ = θ + ∑∞ i=−2 Uiθ , as a supersymmetric extension of the ordinary KP bi-Hamiltonian structure. It is expected to give rise to a universal super W -algebra incorporating all known extended superconformal WN algebras by reduction. We also construct the super BKP hierarchy by imposing a set of an...

We propose a new ensemble classification algorithm, named super random subspace (Super RaSE), to tackle the sparse problem. The proposed algorithm is motivated by (RaSE). RaSE method was shown be flexible framework that can coupled with any existing base classification. However, success of largely depends on proper choice classifier, which unfortunately unknown us. In this work, we show Super a...

Soliton theory has achieved great success during the last decades; it is being applied to mathematics, physics, biology, astrophysics, and other potential fields [1–12]. The diversity and complexity of soliton theory enable investigators to do research from different views, such as Hamiltonian structure, self-consistent sources, conservation laws, and various solutions of soliton equations. In ...

Two sets of super Riccati equations are presented which result in two linear problems of super sine-Gordon equation. The linear problems are then shown to be related to each other by a super gauge transformation and to the super Bäcklund transformation of the equation. PACS: 02.30.Ik PACS: 12.60.Jv On leave of absence from PRD, PINSTECH, Nilore Islamabad (Pakistan).

Abstract : In this paper we introduced the concept of complementary super edge magic labeling and Complementary Super Edge Magic strength of a graph G.A graph G (V, E ) is said to be complementary super edge magic if there exist a bijection f:V U E → { 1, 2, ............p+q } such that p+q+1 f(x) is constant. Such a labeling is called complementary super edge magic labeling with complementary s...