23 citations · 104 across the 22 of their papers we have counts for
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Non-holonomic and Quasi-integrable deformations of the AB Equations
Kumar Abhinav, Indranil Mukherjee, Partha Guha
For the first time, both non-holonomic and quasi-integrable deformations are obtained for the AB system of coupled equations. The AB system models geophysical and atmospheric fluid…
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…
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…
Quasi-Integrability of The KdV System
Kumar Abhinav, Partha Guha
The quasi-integrable KdV equation has been obtained from the corresponding deformation of the Hamiltonian for the usual KdV system. Following suitable gauge-fixing, it has been fou…