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Compactons in PT-symmetric generalized Korteweg-de Vries Equations
Carl M. Bender, Fred Cooper, Avinash Khare +2
In an earlier paper Cooper, Shepard, and Sodano introduced a generalized KdV equation that can exhibit the kinds of compacton solitary waves that were first seen in equations studi…
Domain Wall and Periodic Solutions of Coupled phi6 and Coupled phi6-phi4 Models
Avinash Khare, Avadh Saxena
We obtain several higher order periodic solutions of a Coupled phi6 model in terms of Lame polynomials of order one and two. These solutions are unusual in the sense that while the…
Suppression of quantum tunneling for all spins for easy-axis systems
Avinash Khare, M. B. Paranjape
The semi-classical limit of quantum spin systems corresponds to a dynamical Lagrangian which contains the usual kinetic energy, the couplings and interactions of the spins and an a…
Higher Order Periodic Solutions of Coupled phi4 Models
Avinash Khare, Avadh Saxena
We obtain several higher order exact periodic solutions of (i) a coupled symmetric phi4 model in an external field, (ii) an asymmetric coupled phi4 model, (iii) an asymmetric-symme…
High-speed kinks in a generalized discrete model
Sergey V. Dmitriev, Avinash Khare, Panayotis G. Kevrekidis +2
We consider a generalized discrete model and demonstrate that it can support exact moving kink solutions in the form of tanh with an arbitrarily large velocity. The construct…