23 citations · 104 across the 22 of their papers we have counts for
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math-ph2017★ 16 cited
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…
math-ph2017★ 11 cited
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…
math-ph2017
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…