19 citations · 99 across the 19 of their papers we have counts for
4 papers · 1 filter
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…