[PDF][PDF] Inhomogeneous Heisenberg spin chain as a non-holonomically deformed NLS system

K Abhinav, P Guha - arXiv preprint arXiv:1703.02353, 2017 - researchgate.net
Abstract The Heisenberg Spin Chain system, in the continuum limit, can be represented by
the non-linear Schrödinger equation through the Hashimoto map. Inhomogeneity induced …

Analysis and comparative study of non-holonomic and quasi-integrable deformations of the nonlinear Schrödinger equation

K Abhinav, P Guha, I Mukherjee - Nonlinear Dynamics, 2020 - Springer
The non-holonomic deformation of the nonlinear Schrödinger equation, uniquely obtained
from both the Lax pair and Kupershmidt's bi-Hamiltonian (Kupershmidt in Phys Lett A 372 …

[PDF][PDF] Kumar Abhinav, Partha Guha &

I Mukherjee - Nonlinear Dyn, 2020 - if.nu.ac.th
The non-holonomic deformation of the nonlinear Schrödinger equation, uniquely obtained
from both the Lax pair and Kupershmidt's bi-Hamiltonian (Kupershmidt in Phys Lett A 372 …

[PDF][PDF] Discontinuity, Nonlinearity, and Complexity

VA Bazhenov, OS Pogorelova… - Discontinuity …, 2019 - researchgate.net
At present chaotic vibrations are the one of the most interesting and explored subjects in
nonlinear dynamics. Particularly the routes to chaos in non-smooth dynamical systems are …

B\" acklund Transformation and Quasi-Integrable Deformation of Mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models

K Abhinav, AG Choudhury, P Guha - arXiv preprint arXiv:1701.01929, 2017 - arxiv.org
In this paper we study a non-linear partial differential equation (PDE), proposed by N.
Kudryashov [arXiv: 1611.06813 v1 [nlin. SI]], using continuum limit approximation of mixed …