13 papers
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…
New logarithmic power nonlinear Schrödinger equations with super-Gaussons
Hadi Susanto
We introduce a new class of nonlinear Schrödinger equations with a logarithmic-power nonlinearity that admits exact localized solutions of super-Gaussian form. The resulting stati…
Discrete equations and auto-traveling kinks of the model
H. Susanto, N. Karjanto
We study the model and derive two broad classes of lattice discretizations that admit static, translationally invariant kinks; that is, stationary kink profiles that can b…
Uncontrolled geostationary satellites: mapping periodic transitions to chaos with Lagrangian Descriptors
Roberto Flores, Jerome Daquin, Mauro Pontani +2
Uncontrolled geostationary satellites abandoned near an unstable equilibrium point of the equator experience irregular transitions between dynamical states (continuous circulation,…
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…
Spontaneous symmetry-breaking in the nonlinear Schrödinger equation on star graphs with inhomogeneities
Rahmi Rusin, Hadi Susanto
We investigate the nonlinear Schrödinger equation on a three-edge star graph, where each edge contains a linear localized inhomogeneity in the form of a Dirac delta linear potenti…