29 citations · 29 across the 1 of their papers we have counts for
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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…
Standard Nearest Neighbor Discretizations of Klein-Gordon Models Cannot Preserve Both Energy and Linear Momentum
S. V. Dmitriev, P. G. Kevrekidis, N. Yoshikawa
We consider nonlinear Klein-Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbors) may preserve either standardly defined linear m…
Discrete Klein-Gordon models with static kinks free of the Peierls-Nabarro potential
S. V. Dmitriev, P. G. Kevrekidis, N. Yoshikawa
For the nonlinear Klein-Gordon type models, we describe a general method of discretization in which the static kink can be placed anywhere with respect to the lattice. These discre…