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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…
Kink Solutions With Power Law Tails
Avinash Khare, Avadh Saxena
We present a comprehensive review about the various facets of kink solutions with a power law tail which have received considerable attention during the last few years. This area o…
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.…
Superposed Hyperbolic Kink and Pulse Solutions of Coupled , NLS and MKdV Equations
Avinash Khare, Avadh Saxena
We obtain novel solutions of a coupled , a coupled nonlinear Schrödinger (NLS) and a coupled modified Korteweg de Vries (MKdV) model which can be re-expressed as a linear supe…
Novel Superposed Kink and Pulse Solutions for , MKdV, NLS and Other Nonlinear Equations
Avinash Khare, Avadh Saxena
We show that a number of nonlinear equations including symmetric as well as asymmetric , modified Korteweg de Vries (MKdV), mixed KdV-MKdV, nonlinear Schrödinger (NLS), quadra…