48 citations · 537 across the 51 of their papers we have counts for
27 papers · 1 filter
Embedded solitons in second-harmonic-generating lattices
Hadi Susanto, Boris A. Malomed
Embedded solitons are exceptional modes in nonlinear-wave systems with the propagation constant falling in the system's propagation band. An especially challenging topic is seeking…
Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
Y. -P. Ma, H. Susanto
We study continuations of topological edge states in the Su-Schrieffer-Heeger model with on-site cubic (Kerr) nonlinearity, which is a 1D nonlinear photonic topological insulator (…
Wave group evolution and interaction
N. Karjanto
This thesis deals with mathematical and physical aspects of deterministic freak wave generation in a hydrodynamic laboratory. We adopt the nonlinear Schrödinger (NLS) equation as a…
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…
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…
Soliton and breather splitting on star graphs from tricrystal Josephson junctions
H. Susanto, N. Karjanto, Zulkarnain +2
We consider the interactions of traveling localized wave solutions with a vertex in a star graph domain that describes multiple Josephson junctions with a common/branch point (i.e.…
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…
Networks with point like nonlinearities
K. K. Sabirov, J. R. Yusupov, H. Susanto +1
We study static nonlinear waves in networks described by a nonlinear Schrodinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boun…
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…
Gain-loss-driven travelling waves in PT-symmetric nonlinear metamaterials
M. Agaoglou, M. Feckan, M. Pospisil +2
In this work we investigate a one-dimensional parity-time (PT)-symmetric magnetic metamaterial consisting of split-ring dimers having gain or loss. Employing a Melnikov analysis we…
Black holes will break up solitons and white holes may destroy them
Fiki T. Akbar, Bobby E. Gunara, Hadi Susanto
We consider a quantum analogue of black holes and white holes using Bose-Einstein condensates. The model is described by the nonlinear Schrodinger equation with a 'stream flow' pot…
Bright solitons in a PT-symmetric chain of dimers
Omar B. Kirikchi, Alhaji A Bachtiar, Hadi Susanto
We study the existence and stability of fundamental bright discrete solitons in a parity-time (PT)-symmetric coupler composed by a chain of dimers, that is modelled by linearly cou…
Dynamics of generalized PT-symmetric dimers with time periodic gain-loss
F. Battelli, J. Diblik, M. Feckan +3
A Parity-Time (PT)-symmetric system with periodically varying-in-time gain and loss modeled by two coupled Schrodinger equations (dimer) is studied. It is shown that the problem ca…
Solitons in a parametrically driven damped discrete nonlinear Schrödinger equation
M. Syafwan, H. Susanto, S. M. Cox
We consider a parametrically driven damped discrete nonlinear Schrödinger (PDDNLS) equation. Analytical and numerical calculations are performed to determine the existence and stab…
An instability criterion for nonlinear standing waves on nonzero backgrounds
R. K. Jackson, R. Marangell, H. Susanto
A nonlinear Schrödinger equation with repulsive (defocusing) nonlinearity is considered. As an example, a system with a spatially varying coefficient of the nonlinear term is studi…
Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit
K. Li, P. G. Kevrekidis, H. Susanto +1
In the present work, we generalize earlier considerations for intrinsic localized modes consisting of a few excited sites, as developed in the one-component discrete nonlinear Schr…
Unstable gap solitons in inhomogeneous Schrodinger equations
R. Marangell, H. Susanto, C. K. R. T. Jones
A periodically inhomogeneous Schrodinger equation is considered. The inhomogeneity is reflected through a non-uniform coefficient of the linear and non-linear term in the equation.…
Variational approximations for travelling solitons in a discrete nonlinear Schrödinger equation
M. Syafwan, H. Susanto, S. M. Cox +1
Travelling solitary waves in the one-dimensional discrete nonlinear Schrödinger equation (DNLSE) with saturable onsite nonlinearity are studied. A variational approximation (VA) fo…
Variational approximations to homoclinic snaking in continuous and discrete systems
P. C. Matthews, H. Susanto
Localised structures appear in a wide variety of systems, arising from a pinning mechanism due to the presence of a small-scale pattern or an imposed grid. When there is a separati…
Pinned fluxons in a Josephson junction with a finite-length inhomogeneity
Gianne Derks, Arjen Doelman, Christopher J. K. Knight +1
We consider a Josephson junction system installed with a finite length inhomogeneity, either of microresistor or of microresonator type. The system can be modelled by a sine-Gordon…
Breathing modes of long Josephson junctions with phase-shifts
Amir Ali, Hadi Susanto, Jonathan Wattis
We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate cond…
Localized standing waves in inhomogeneous Schrodinger equations
R. Marangell, C. K. R. T. Jones, H. Susanto
A nonlinear Schrodinger equation arising from light propagation down an inhomogeneous medium is considered. The inhomogeneity is reflected through a non-uniform coefficient of the…
Boundary driven waveguide arrays: Supratransmission and saddle-node bifurcation
H. Susanto
In this report, we consider a semi-infinite discrete nonlinear Schrödinger equation driven at one edge by a driving force. The equation models the dynamics of coupled waveguide arr…
Solitons and vortices in honeycomb defocusing photonic lattices
K. J. H. Law, H. Susanto, P. G. Kevrekidis
Solitons and necklaces in the first band-gap of a two-dimensional optically induced honeycomb defocusing photonic lattice are theoretically considered. It is shown that dipoles, so…