1 citations · 2 across the 2 of their papers we have counts for
7 papers
Wiener-Hopf factorisation on unit circle: some examples from discrete scattering
Basant Lal Sharma
I discuss some problems featuring scattering due to discrete edges on certain structures. These problems stem from linear difference equations and the underlying basic issue can be…
A Family of Solitary Waves in Frenkel-Kontorova Lattice
Basant Lal Sharma
A family of solitary waves is constructed in Frenkel-Kontorova model and its continuum and quasi-continuum approximations. Each solitary waves is characterised by the number of loc…
Energy expense via lattice wave emission for mode III brittle fracture in square, triangular, and hexagonal lattices
Basant Lal Sharma
The mode III fracture problem for a hexagonal lattice is discussed and compared with square and triangular lattices.
Synchronization of globally coupled oscillators without symmetry in the distribution of natural frequencies
Basant Lal Sharma
The collective behavior in a population of globally coupled oscillators with randomly distributed frequencies is studied when the natural frequency distribution does not possess an…
Scattering of electronic waves in square and triangular lattice half-planes with monoatomic step
Basant Lal Sharma
Scattering of electronic waves in square and triangular lattice half-planes by a step on the surface is analyzed using the nearest-neighbour tight binding approximation. The change…
Continuum limit of discrete Sommerfeld problems on square lattice
Basant Lal Sharma
A low frequency approximation of the discrete Sommerfeld diffraction problems, involving the scattering of a time harmonic lattice wave incident on square lattice by a discrete Dir…