19 citations · 99 across the 19 of their papers we have counts for
16 papers
Dynamics and stabilization of topological edge solitons in driven-damped nonlinear SSH lattices
Adrianus Yosia, Rahmi Rusin, Rudy Kusdiantara +1
We study topological edge solitons in a nonlinear Su--Schrieffer--Heeger (SSH) lattice subject to parametric driving and linear damping. Starting from a vertically driven pendulum…
Pearl supratransmission in a boundary-driven two-dimensional nonlinear Schrödinger equation with a hole
Rudy Kusdiantara, Hadi Susanto
We investigate energy supratransmission in a boundary-driven two-dimensional nonlinear Schrödinger equation with a central hole. Harmonic forcing with azimuthal modulation generate…
Spectral and Dynamical Properties of the Fractional Nonlinear Schrödinger Equation under Harmonic Confinement
R. Kusdiantara, M. F. Adhari, H. A. Mardi +2
We investigate the spectral and dynamical properties of the fractional nonlinear Schrödinger (fNLS) equation with harmonic confinement. In this setting, the classical Laplacian is…
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…
Analysis of multistability in discrete quantum droplets and bubbles
R. Kusdiantara, H. Susanto, T. F. Adriano +1
This study investigates the existence and stability of localized states in the discrete nonlinear Schrödinger (DNLS) equation with quadratic and cubic nonlinearities, describing th…
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…
Snakes and ghosts in a parity-time-symmetric chain of dimers
H. Susanto, R. Kusdiantara, N. Li +4
We consider linearly coupled discrete nonlinear Schrödinger equations with gain and loss terms and with a cubic-quintic nonlinearity. The system models a parity-time ()-s…