13 papers
Quantum geometric potential induced conformational transitions in elastic helical nanoribbons
Radha Balakrishnan, Rossen Dandoloff, Avadh Saxena
We consider an {\em elastic} helical nanoribbon that can take on various conformations, and study the effect of placing a quantum particle on its curved surface. Using a modified C…
Collective dynamics in a one-dimensional Heisenberg ferromagnetic spin chain
R. Arun, M. Lakshmanan, Avadh Saxena
We investigate the different oscillatory modes, namely, complete synchronization, inphase synchronization, antiphase synchronization and desynchronization in a one-dimensional anis…
Integrable motion of curves associated with the Fokas-Lenells equation and related spin system
R. Ramakrishnan, Sagardeep Talukdar, M. Lakshmanan +1
In this article, we study the gauge equivalence between the integrable Fokas- Lenells equation (FLE) and an associated spin equation through a gauge transformation and the zero cur…
One-Parameter Family of Elliptic Sine-Gordon Equations
Avinash Khare, Avadh Saxena
We introduce a continuous one-parameter family of elliptic sine-Gordon equations (SGE) characterized by the modulus of Jacobi elliptic functions and analyze some of…
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…