3 papers
physics.comp-ph2025
SWtools: A Python module implementing iterative solvers for soliton solutions of nonlinear Schrödinger-type equations
O. Melchert, A. Demircan
Solitons are ubiquitous in nature and play a pivotal role in the structure and dynamics of solutions of nonlinear propagation equations. In many instances where solitons exist, ana…
physics.optics2024
Optical Solitary Wavelets
O. Melchert, A. Demircan
We investigate wavelet-like localized solutions in nonlinear waveguides, enabled by complementary propagation constants embedded in domains of anomalous dispersion. They are carrie…
nlin.PS2024
Numerical investigation of a family of solitary-wave solutions for the nonlinear Schrödinger equation perturbed by third-, and fourth-order dispersion
O. Melchert, A. Demircan
We study solitary wave solutions for the nonlinear Schrödinger equation perturbed by the effects of third-, and fourth-order dispersion, maintaining a wavenumber gap between the s…