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The Scattering amplitude for Rationally extended shape invariant Eckart potentials
Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal
We consider the rationally extended exactly solvable Eckart potentials which exhibit extended shape invariance property. These potentials are isospectral to the conventional Eckart…
PT-Symmetric Dimer of Coupled Nonlinear Oscillators
J. Cuevas, P. G. Kevrekidis, A. Saxena +1
We provide a systematic analysis of a prototypical nonlinear oscillator system respecting PT-symmetry i.e., one of them has gain and the other an equal and opposite amount of loss.…
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…
The Scattering amplitude for one parameter family of shape invariant potentials related to Xm Jacobi polynomials
Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandala
We consider the recently discovered, one parameter family of exactly solvable shape invariant potentials which are isospectral to the generalized Pöschl-Teller potential. By explic…
Linear Superposition for a Large Number of Nonlinear Equations
Avinash Khare, Avadh Saxena
We demonstrate a kind of linear superposition for a large number of nonlinear equations, both continuum and discrete. In particular, we show that whenever a nonlinear equation admi…