60 citations · 137 across the 14 of their papers we have counts for
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Emergent soliton-like solutions in the parametrically driven 1-D nonlinear Schrödinger equation
K Dileep, S Murugesh
We numerically investigate the long time dynamics of spatially periodic breather solutions of the 1-D nonlinear Schrödinger equation under parametric forcing of the form $f(x)=f_0…
Exact and non-exact Fermi-Pasta-Ulam-Tsingou recurrences in a Heisenberg ferromagnet
Rahul O. R., S. Murugesh
We visualize the Fermi-Pasta-Ulam-Tsingou (FPUT) recurrence in a classical Heisenberg ferromagnetic (HF) spin chain by exploiting its gauge eq uivalence to the nonlinear Schrödinge…
Knot soliton solutions for the one-dimensional non-linear Schrödinger equation
Rahul O. R., S. Murugesh
We identify that for a broad range of parameters a variant of the soliton solution of the one-dimensional non-linear Schr\"{odinger} equation, the {\it breather}, is distinct when…
Spin breather and rogue formations in a Heisenberg ferromagnetic system
Rahul O. R., S. Murugesh
We construct explicit spin configurations for the breather solution of a one-dimensional Heisenberg ferromagnetic spin system. This corresponds to the breather soliton solution of…
Nonlinear Dynamics of Moving Curves and Surfaces: Applications to Physical Systems
S. Murugesh, M. Lakshmanan
The subject of moving curves (and surfaces) in three dimensional space (3-D) is a fascinating topic not only because it represents typical nonlinear dynamical systems in classical…
New geometries associated with the nonlinear Schrödinger equation
S. Murugesh, Radha Balakrishnan
We apply our recent formalism establishing new connections between the geometry of moving space curves and soliton equations, to the nonlinear Schrödinger equation (NLS). We show t…