8 citations · 8 across the 2 of their papers we have counts for
3 papers
math.DS2019
Symmetry breaking bifurcations in the NLS equation with an asymmetric delta potential
Rahmi Rusin, Robert Marangell, Hadi Susanto
We consider the NLS equation with a linear double well potential. Symmetry breaking, i.e., the localisation of an order parameter in one of the potential wells that can occur when…
nlin.PS2019★ 8 cited
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…
nlin.PS2018
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…