329 citations · 5.2k across the 203 of their papers we have counts for
8 papers · 1 filter
Solitary Wave Interactions In Dispersive Equations Using Manton's Approach
P. G. Kevrekidis, Avinash Khare, A. Saxena
We generalize the approach first proposed by Manton [Nuc. Phys. B {\bf 150}, 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations th…
Domain Size Dependence of Piezoelectric Properties of Ferroelectrics
Rajeev Ahluwalia, Turab Lookman, Avadh Saxena +1
The domain size dependence of piezoelectric properties of ferroelectrics is investigated using a continuum Ginzburg-Landau model that incorporates the long-range elastic and electr…
Exact Solutions of the Saturable Discrete Nonlinear Schrodinger Equation
Avinash Khare, K. O. Rasmussen, M. R. Samuelsen +1
Exact solutions to a nonlinear Schr{ö}dinger lattice with a saturable nonlinearity are reported. For finite lattices we find two different standing-wave-like solutions, and for an…
Spatial Structures in a Generalized Ginzburg-Landau Free Energy
Abdel-Khalek Farid, Yonggang Yu, Avadh Saxena +1
Searching for characteristic signatures of a higher order phase transition (specifically of order three or four), we have calculated the spatial profiles and the energies of a spat…
Persistent spin currents induced by a spatially-dependent magnetic field in a spin-1/2 Heisenberg antiferromagnetic ring
D. Schmeltzer, A. Saxena, A. R. Bishop +1
We show that a spatially-dependent magnetic field can induce a persistent spin current in a spin-1/2 Heisenberg antiferromagnetic ring, proportional to the solid angle subtended by…
Spherical Vesicles Distorted by a Grafted Latex Bead: An Exact Solution
Jerome Benoit, Avadh Saxena
We present an exact solution to the problem of the global shape description of a spherical vesicle distorted by a grafted latex bead. This solution is derived by treating the nonli…
Semiclassical kinetic theory of electron spin relaxation in semiconductors
Franz X. Bronold, Avadh Saxena, Darryl L. Smith
We develop a semiclassical kinetic theory for electron spin relaxation in semiconductors. Our approach accounts for elastic as well as inelastic scattering and treats Elliott-Yafet…
Soliton Lattice and Single Soliton Solutions of the Associated Lamé and Lamé Potentials
Ioana Bena, Avinash Khare, Avadh Saxena
We obtain the exact nontopological soliton lattice solutions of the Associated Lamé equation in different parameter regimes and compute the corresponding energy for each of these s…