329 citations · 5.2k across the 203 of their papers we have counts for
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Exact Moving and Stationary Solutions of a Generalized Discrete Nonlinear Schrodinger Equation
Avinash Khare, Sergey V. Dmitriev, Avadh Saxena
We obtain exact moving and stationary, spatially periodic and localized solutions of a generalized discrete nonlinear Schrödinger equation. More specifically, we find two different…
Domain Wall and Periodic Solutions of Coupled Asymmetric Double Well Models
Avinash Khare, Avadh Saxena
Coupled asymmetric double well () one-dimensional potentials arise in the context of first order phase transitions both in condensed matter physics and field theory…
Comparative Study of Different Discretizations of the Model
Ishani Roy, Sergey V. Dmitriev, Panayotis G. Kevrekidis +1
We examine various recently proposed discretizations of the well-known field theory. We compare and contrast the properties of their fundamental solutions including the natur…
Discrete Nonlinear Schrodinger Equations with arbitrarily high order nonlinearities
Avinash Khare, Kim Ø. Rasmussen, Mario Salerno +2
A class of discrete nonlinear Schrodinger equations with arbitrarily high order nonlinearities is introduced. These equations are derived from the same Hamiltonian using different…
Statics and Dynamics of an Inhomogeneously-Nonlinear Lattice
Debra L. Machacek, Elizabeth A. Foreman, Q. E. Hoq +4
We introduce an inhomogeneously-nonlinear Schr{ö}dinger lattice, featuring a defocusing segment, a focusing segment and a transitional interface between the two. We illustrate that…