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20182026
most citedVariational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation

8 citations · 16 across the 5 of their papers we have counts for

collaborators

5 papers

nlin.PS2026

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…

nlin.PS2025★ 1 cited

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 potentia…

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★ 7 cited

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…