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Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetry
Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare +2
We consider -dimensional Dirac equation with rationally extended scalar potentials corresponding to the radial oscillator, the trigonometric Scarf and the hyperbolic Poschl-Te…
How close Are Integrable and Non-integrable Models: A Parametric Case Study Based on the Salerno Model
Thudiyangal Mithun, Aleksandra Maluckov, Ana Mančić +2
In the present work we revisit the Salerno model as a prototypical system that interpolates between a well-known integrable system (the Ablowitz-Ladik lattice) and an experimentall…
Nonlocal Superposed Solutions II: Coupled Nonlinear Equations
Avinash Khare, Avadh Saxena
We obtain novel periodic as well as hyperbolic solutions of an Ablowitz-Musslimani variant of the coupled nonlocal, nonlinear Schrödinger equation (NLS) as well as a coupled nonloc…
Dipole and quadrupole nonparaxial solitary waves
Naresh Saha, Barnana Roy, Avinash Khare
The cubic nonlinear Helmholtz equation with third and fourth order dispersion and non-Kerr nonlinearity like the self steepening and the self frequency shift is considered. This mo…
Novel Superposed Kinklike and Pulselike Solutions for Several Nonlocal Nonlinear Equations
Avinash Khare, Avadh Saxena
We show that a number of nonlocal nonlinear equations including the Ablowitz-Musslimani and the Yang variant of the nonlocal nonlinear Schröd-inger (NLS) equation, nonlocal modifie…
Stability of exact solutions of the -dimensional nonlinear Schrödinger equation with arbitrary nonlinearity parameter
Fred Cooper, Avinash Khare, Efstathios G. Charalampidis +2
In this work, we consider the nonlinear Schrödinger equation (NLSE) in dimensions with arbitrary nonlinearity exponent in the presence of an external confining potential.…