19 citations · 99 across the 19 of their papers we have counts for
5 papers · 1 filter
In-band supratransmission in nonlinear flat band lattices
R. Kusdiantara, M. Wijaya, M. F. Adhari +1
Studying wave propagation in nonlinear discrete systems is essential for understanding energy transfer in lattices. While linear systems prohibit wave propagation within the natura…
Exponential asymptotics of dark and bright solitons in the discrete nonlinear Schrödinger equation
Farrell Theodore Adriano, Abrari Noor Hasmi, Rudy Kusdiantara +1
We investigate the existence and linear stability of solitons in the nonlinear Schrödinger lattices in the strong coupling regime. Focusing and defocusing nonlinearities are consid…
Physics-informed neural networks for high-dimensional solutions and snaking bifurcations in nonlinear lattices
Muhammad Luthfi Shahab, Fidya Almira Suheri, Rudy Kusdiantara +1
This paper introduces a framework based on physics-informed neural networks (PINNs) for addressing key challenges in nonlinear lattices, including solution approximation, bifurcati…
Nonlinear states of the conservative complex Swift-Hohenberg equation
Rudy Kusdiantara, Hadi Susanto
We consider the conservative complex Swift-Hohenberg equation, which belongs to the family of nonlinear fourth-order dispersive Schrödinger equations. In contrast to the well-studi…
From Snaking to Isolas: A One-Active-Site Approximation in Discrete Optical Cavities
R. Kusdiantara, H. Susanto, A. R. Champneys
We investigate time-independent solutions of a discrete optical cavity model featuring saturable Kerr nonlinearity, a discrete version of the Lugiato-Lefever equation. This model s…