81 citations · 132 across the 5 of their papers we have counts for
5 papers
Statistical Mechanics of a Discrete Schrödinger Equation with Saturable Nonlinearity
Mogens R. Samuelsen, Avinash Khare, Avadh Saxena +1
We study the statistical mechanics of the one-dimensional discrete nonlinear Schrödinger (DNLS) equation with saturable nonlinearity. Our study represents an extension of earlier w…
Staggered and short period solutions of the Saturable Discrete Nonlinear Schrödinger Equation
Avinash Khare, Kim Ø. Rasmussen, Mogens R. Samuelsen +1
We point out that the nonlinear Schr{ö}dinger lattice with a saturable nonlinearity also admits staggered periodic as well as localized pulse-like solutions. Further, the same mode…
Exact Solutions of the Two-Dimensional Discrete Nonlinear Schrödinger Equation with Saturable Nonlinearity
Avinash Khare, Kim Ø. Rasmussen, Mogens R. Samuelsen +1
We show that the two-dimensional, nonlinear Schrödinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for…
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…
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…