Advanced methods for studying soliton solutions of cubic Schrödinger model
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1515/zna-2026-0014
- Journal Name: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, zbMATH, Academic Search Ultimate (EBSCO), Humanities Source Ultimate (EBSCO)
- Keywords: analytical methods, complex solutions, nonlinear cubic Schrödinger equation, nonlinear wave propagation
- Yıldız Technical University Affiliated: Yes
Abstract
In numerous branches of physics, the nonlinear cubic Schrödinger equation serves as a fundamental model with profound applications, particularly in optics, plasma physics, fluid dynamics, and quantum mechanics. In this study, four analytical techniques have been employed to explore and derive soliton solutions of the complex Schrödinger equation. The obtained solutions, expressed via hyperbolic, trigonometric, exponential, and rational functions, exhibit rich wave structures and dynamics. To elucidate the physical significance and practical applicability of the proposed model, several graphical simulations have been performed by assigning appropriate values to the key parameters, thereby illustrating the influence of these parameters on wave propagation characteristics. The proposed methods efficiently generate diverse traveling solutions in physics and applied sciences.