9 citations · 27 across the 5 of their papers we have counts for
7 papers
Justification of the discrete nonlinear Schrödinger equation from a parametrically driven damped nonlinear Klein-Gordon equation and numerical comparisons
Y. Muda, F. T. Akbar, R. Kusdiantara +2
We consider a damped, parametrically driven discrete nonlinear Klein-Gordon equation, that models coupled pendula and micromechanical arrays, among others. To study the equation, o…
Snakes in square, honeycomb, and triangular lattices
R. Kusdiantara, H. Susanto
We present a study of time-independent solutions of the two-dimensional discrete Allen-Cahn equation with cubic and quintic nonlinearity. Three different types of lattices are cons…
Reduction of damped, driven Klein-Gordon equations into a discrete nonlinear Schrödinger equation: justification and numerical comparisons
Yuslenita Muda, Fiki T. Akbar, Rudy Kusdiantara +2
We consider a discrete nonlinear Klein-Gordon equations with damping and external drive. Using a small amplitude ansatz, one usually approximates the equation using a damped, drive…
Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation
Rahmi Rusin, Rudy Kusdiantara, Hadi Susanto
We study the integrable nonlocal nonlinear Schrödinger equation proposed by Ablowitz and Musslimani, that is considered as a particular example of equations with parity-time ($\mat…
Variational approximations using Gaussian ansatz, false instability, and its remedy in nonlinear Schrödinger lattices
Rahmi Rusin, Rudy Kusdiantara, Hadi Susanto
We study the fundamental lattice solitons of the discrete nonlinear Schrödinger (DNLS) equation and their stability via a variational method. Using a Gaussian ansatz and comparing…
Solitons in a chain of charge-parity-symmetric dimers
O. B. Kirikchi, B. A. Malomed, N. Karjanto +2
We consider an array of dual-core waveguides, which represent an optical realization of a chain of dimers, with an active (gain-loss) coupling between the cores, opposite signs of…