Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

A detailed study of the Charney–Hasegawa–Mima model and its extensions is presented.
These simple nonlinear partial differential equations suggested for both Rossby waves in …

Elliptic curve cryptography provides better security and is more efficient as compared to
other public key cryptosystems with identical key size. In this article, we present a new …

The steady state of a forced Taylor–Green flow is investigated in a rotating frame of
reference. The investigation involves the results of 184 numerical simulations for different …

We propose an image encryption scheme based on quasi-resonant Rossby/drift wave triads
(related to elliptic surfaces) and Mordell elliptic curves (MECs). By defining a total order on …

A robust energy transfer mechanism is found in nonlinear wave systems, which favors
transfers toward modes interacting via triads with nonzero frequency mismatch, applicable in …

We consider discrete clusters of quasi-resonant triads arising from a Hamiltonian three-wave
equation. A cluster consists of N modes forming a total of M connected triads. We investigate …

We propose a new parametrization of the resonant Rossby/drift wave triads to develop an
algorithm to enumerate all resonant triads in a given grid of wavenumbers. To arrive at such …

Turbulence commonly described in Fourier space due to its multi-scale nature can be
formulated using wave-number space networks where each node represents a wave-vector …

We study the kinematics of nonlinear resonance broadening of interacting Rossby waves as
modelled by the Charney–Hasegawa–Mima equation on a biperiodic domain. We focus on …