329 citations · 5.2k across the 203 of their papers we have counts for
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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…
Soliton Lattice and Single Soliton Solutions of the Associated Lamé and Lamé Potentials
Ioana Bena, Avinash Khare, Avadh Saxena
We obtain the exact nontopological soliton lattice solutions of the Associated Lamé equation in different parameter regimes and compute the corresponding energy for each of these s…