48 citations · 50 across the 16 of their papers we have counts for
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Hyperbolic, Trigonometric and Periodic Solutions of Local and Nonlocal Fokas-Lennels Equations
Avinash Khare, Avadh Saxena
We obtain a large number of exact hyperbolic, trigonometric, and periodic solutions in terms of Jacobi elliptic functions as well as algebraic solutions with a power law tail of th…
Two-Parameter Family of Nonlinear Dirac Equations With Scalar-Scalar plus Vector-Vector Interactions
Avinash Khare, Fred Cooper, John F. Dawson +1
We obtain exact solutions of the nonlinear Dirac equation in dimensions of the form for scalar-scalar (SS) plus vector-vector (VV) interaction with i…
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…
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…
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…
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…