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nlin.SI2021★ 4 cited
On Quasi-integrable Deformation Scheme of The KdV System
Kumar Abhinav, Partha Guha
We put forward a general approach to quasi-deform the KdV equation by deforming the corresponding Hamiltonian. Following the standard Abelianization process based on the inherent $…
nlin.SI2019
Space Curves from Nonlinear Schrödinger Solutions: A Direct Approach
Kumar Abhinav, Partha Guha
The connection between vortex filament evolution in the local induction approximation and non-linear Schrödinger (NLS) equation by Hasimoto [H. Hasimoto, J. Fluid Mechanics 51, (19…
nlin.SI2016
Analysis and comparative study of non-holonomic and quasi-integrable deformations of the Nonlinear Schrödinger Equation
Kumar Abhinav, Partha Guha, Indranil Mukherjee
The non-holonomic deformation of the nonlinear Schrödinger equation, uniquely obtained from both the Lax pair and Kupershmidt's bi-Hamiltonian [Phys. Lett. A 372, 2634 (2008)] appr…