48 citations · 50 across the 16 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
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…
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-…
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…
Solitary waves in the coupled nonlinear massive Thirring as well as coupled Soler models with arbitrary nonlinearity
Avinash Khare, Fred Cooper, John F. Dawson +2
Motivated by the recent introduction of an integrable coupled massive Thirring model by Basu-Mallick et al, we introduce a new coupled Soler model. Further we generalize both the c…
PT-Symmetric Dimer of Coupled Nonlinear Oscillators
J. Cuevas, P. G. Kevrekidis, A. Saxena +1
We provide a systematic analysis of a prototypical nonlinear oscillator system respecting PT-symmetry i.e., one of them has gain and the other an equal and opposite amount of loss.…