329 citations · 5.2k across the 203 of their papers we have counts for
203 papers
New Solutions of Coupled Nonlocal NLS and Coupled Nonlocal mKdV Equations
Avinash Khare, Avadh Saxena
We provide several novel solutions of the coupled Ablowitz-Musslimani (AM) version of the nonlocal nonlinear Schrödinger (NLS) equation and the coupled nonlocal modified Korteweg-d…
New Solutions of Nonlocal NLS, mKdV and Hirota Equations
Avinash Khare, Avadh Saxena
In this paper, we provide several novel solutions of the Ablowitz-Musslimani as well Yang's versions of the nonlocal nonlinear Schrödinger (NLS) equation, nonlocal modified Kortewe…
Twisted curve geometry underlying topological invariants
Radha Balakrishnan, Rossen Dandoloff, Avadh Saxena
Topological invariants such as winding numbers and linking numbers appear as charges of topological solitons in diverse nonlinear physical systems described by a unit vector field…
Quantum dynamics of non-Hermitian many-body Landau-Zener systems
Rajesh K. Malla, Julia Cen, Wilton J. M. Kort-Kamp +1
We develop a framework to solve a large class of linearly driven non-Hermitian quantum systems. Such a class of models in the Hermitian scenario is commonly known as multi-state La…
Uniform Bose-Einstein Condensates as Kovaton solutions of the Gross-Pitaevskii Equation through a Reverse-Engineered Potential
Fred Cooper, Avinash Khare, John F. Dawson +2
In this work, we consider a ``reverse-engineering'' approach to construct confining potentials that support exact, constant density kovaton solutions to the classical Gross-Pitaevs…
New static solutions of symmetric equation
Avinash Khare, Saikat Banerjee, Avadh Saxena
In this paper, we provide new exact solutions of nonlinear Klein-Gordon () equation in -dimension. For simplicity, we focus on the static equation and ignore the time-dep…