An introduction to PT-symmetric quantum mechanics-time-dependent systems

A Fring - Journal of Physics: Conference Series, 2023 - iopscience.iop.org
I will provide a pedagogical introduction to non-Hermitian quantum systems that are PT-
symmetric, that is they are left invariant under a simultaneous parity transformation (P) and …

Hybrid solutions of real and complex modified Korteveg-de Vries equations and their predictions through deep learning algorithm

N Vishnu Priya, K Thulasidharan, M Senthilvelan - Nonlinear Dynamics, 2025 - Springer
We construct hybrid solutions (combinations of solitons and degenerate solitons) for the real
and complex modified Kortweg-de Vries equations. Specifically, using the Darboux …

[HTML][HTML] Linearly stable and unstable complex soliton solutions with real energies in the Bullough-Dodd model

F Correa, A Fring, T Taira - Nuclear Physics B, 2022 - Elsevier
We investigate different types of complex soliton solutions with regard to their stability
against linear perturbations. In the Bullough-Dodd scalar field theory we find linearly stable …

Travelling wave solutions and regularity results for nonlinear Newton-Schrödinger systems especially in one dimensions

MS Iqbal, M Inc, S Safdar, MA Tarar, MO Ahmed… - Optical and Quantum …, 2022 - Springer
In this article, the soliton solutions of the Newton Schrodinger system are obtained using the
solution steps provided by the Kudryashov method. The solutions have interesting solitary …