48 citations · 50 across the 16 of their papers we have counts for
9 papers · 1 filter
Linear Superposition of Quadratic Functions in a Fifth Order KdV-Type Equation
Avinash Khare, Avadh Saxena
We show that a fifth order KdV-type equation admits several real as well as complex parity-time reversal or PT-invariant solutions with linear superposition of quadratic functions…
Some Novel Aspects of the Plane Pendulum in Classical Mechanics
Avinash Khare, Avadh Saxena
We obtain a novel connection between the exact solutions of the plane pendulum, hyperbolic plane pendulum and inverted plane pendulum equations as well as the static solutions of t…
Particle localization on helical nanoribbons: Quantum analog of the Coriolis effect
Radha Balakrishnan, Rossen Dandoloff, Victor Atanasov +1
We derive the Schrödinger equation for a particle confined to the surface of a normal and a binormal helical nanoribbon, obtain the quantum potentials induced by their respective c…
Solitons of the Symmetric -- Triple Well Model
Avinash Khare, Avadh Saxena
A symmetric -- model has recently attracted a lot of attention due to its usefulness in studying tunable phase transitions. We analyze the behavior of this model…
Programmable Exploration of Magnetic States in Lieb-Kagome Interpolated Lattices
Alejandro Lopez-Bezanilla, Pavel A. Dub, Avadh Saxena
We investigate a hybrid modeling framework in which a quantum annealer is used to simulate magnetic interactions in molecular qubit lattices inspired by experimentally realizable s…
Solitary waves in the complementary generalized ABS model
Avinash Khare, Fred Cooper, John F. Dawson +1
We obtain exact solutions of the nonlinear Dirac equation in 1+1 dimension of the form $ Ψ(x,t) =Φ(x) \rme^{-\rmi ωt}$ where the nonlinear interactions are a combination of vector-…
Connection Between the Exact Moving Solutions of the Negative Korteweg-de Vries (nKdV) Equation and the Negative Modified Korteweg-de Vries (nmKdV) Equation and the Static Solutions of 1+1 Dimensional Field Theory
Avinash Khare, Fred Cooper, Avadh Saxena
The negative order KdV (nKdV) and the modified KdV (nmKdV) equations have two different formulations based on different hierarchy operators. Both equations can be written in terms…
Solitary waves in a Two Parameter Family of Generalized Nonlinear Dirac Equations in Dimensions
Avinash Khare, Fred Cooper, John F. Dawson +1
We obtain exact solutions of the nonlinear Dirac equation in 1+1 dimension of the form where the nonlinear interactions are a combination of vector-vector…
Gravitational Waves beyond the Linear Approximation and Gravitational Wave Reflection
Victor Atanasov, Avadh Saxena
We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a…