23 citations · 104 across the 22 of their papers we have counts for
5 papers · 1 filter
Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy
Kumar Abhinav, Partha Guha, Indranil Mukherjee
The hierarchy of equations belonging to two different but related integrable systems, the Nonlinear Schrödinger and its derivative variant, DNLS are subjected to two distinct defor…
Image Segmentation of Multi-Shaped Overlapping Objects
Kumar Abhinav, Jaideep Singh Chauhan, Debasis Sarkar
In this work, we propose a new segmentation algorithm for images containing convex objects present in multiple shapes with a high degree of overlap. The proposed algorithm is carri…
Chern-Simons Gauge Invariance and Boundary Conformal Fields
Kumar Abhinav, Samir K. Paul
The topological non-Abelian Chern-Simons theory with a boundary is shown to require a scalar field companion in order to preserve overall gauge-invariance both in the 3 dimensional…
Inhomogeneous Heisenberg Spin Chain and Quantum Vortex Filament as Non-Holonomically Deformed NLS Systems
Kumar Abhinav, Partha Guha
Through the Hasimoto map, various dynamical systems can be mapped to different integrodifferential generalizations of Nonlinear Schrodinger (NLS) family of equations some of which…
Bäcklund Transformation and Quasi-Integrable Deformation of Mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models
Kumar Abhinav, A Ghose Choudhury, Partha Guha
In this paper we study a non-linear partial differential equation (PDE), proposed by N. Kudryashov [arXiv:1611.06813v1[nlin.SI]], using continuum limit approximation of mixed Fermi…