42 citations · 199 across the 11 of their papers we have counts for
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Exact Moving and Stationary Solutions of a Generalized Discrete Nonlinear Schrodinger Equation
Avinash Khare, Sergey V. Dmitriev, Avadh Saxena
We obtain exact moving and stationary, spatially periodic and localized solutions of a generalized discrete nonlinear Schrödinger equation. More specifically, we find two different…
Comparative Study of Different Discretizations of the Model
Ishani Roy, Sergey V. Dmitriev, Panayotis G. Kevrekidis +1
We examine various recently proposed discretizations of the well-known field theory. We compare and contrast the properties of their fundamental solutions including the natur…
Exact static solutions for discrete models free of the Peierls-Nabarro barrier: Discretized first integral approach
S. V. Dmitriev, P. G. Kevrekidis, N. Yoshikawa +1
We propose a generalization of the discrete Klein-Gordon models free of the Peierls-Nabarro barrier derived in Nonlinearity {\bf 12}, 1373 (1999) and Phys. Rev. E {\bf 72}, 035602(…
Discrete Nonlinear Schrodinger Equations Free of the Peierls-Nabarro Potential
S. V. Dmitriev, P. G. Kevrekidis, A. A. Sukhorukov +2
We derive a class of discrete nonlinear Schr{ö}dinger (DNLS) equations for general polynomial nonlinearity whose stationary solutions can be found from a reduced two-point algebrai…