81 citations · 222 across the 20 of their papers we have counts for
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On Some Classes of mKdV Periodic Solutions
P. G. Kevrekidis, Avinash Khare, A. Saxena +1
We obtain exact periodic solutions of the positive and negative modified Kortweg-de Vries (mKdV) equations. We examine the dynamical stability of these solitary wave lattices throu…
Solitary Wave Interactions In Dispersive Equations Using Manton's Approach
P. G. Kevrekidis, Avinash Khare, A. Saxena
We generalize the approach first proposed by Manton [Nuc. Phys. B {\bf 150}, 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations th…
Exact Solutions of the Saturable Discrete Nonlinear Schrodinger Equation
Avinash Khare, K. O. Rasmussen, M. R. Samuelsen +1
Exact solutions to a nonlinear Schr{ö}dinger lattice with a saturable nonlinearity are reported. For finite lattices we find two different standing-wave-like solutions, and for an…