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Advanced methods for studying soliton solutions of cubic Schrödinger model
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Periodical
- Title:
- Zeitschrift für Naturforschung
- Other titles:
- Zeitschrift für Naturforschung / A
- Publication:
-
Berlin: De Gruyter
- Note:
- Gesehen am 03. September 2024
- Ersch. monatl. bis alle 2 Monate
- Scope:
- Online-Ressource
- ISSN:
- 1865-7109
- ZDB-ID:
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2079610-9
- VÖBB-Katalog:
- 14783917
- Previous Title:
- Zeitschrift für Naturforschung
- Keywords:
- Physik ; Zeitschrift ; Naturwissenschaften ; Zeitschrift ; Zeitschrift
- Classification:
- Naturwissenschaften
- Collection:
- Naturwissenschaften
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
- Title:
- Zeitschrift für Naturforschung
- Other titles:
- Zeitschrift für Naturforschung / A
- Publication:
-
Berlin: De Gruyter
- Note:
- Gesehen am 03. September 2024
- Ersch. monatl. bis alle 2 Monate
- Scope:
- Online-Ressource
- ISSN:
- 1865-7109
- ZDB-ID:
-
2079610-9
- VÖBB-Katalog:
- 14783917
- Previous Title:
- Zeitschrift für Naturforschung
- Keywords:
- Physik ; Zeitschrift ; Naturwissenschaften ; Zeitschrift ; Zeitschrift
- Classification:
- Naturwissenschaften
- Collection:
- Naturwissenschaften
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
Article
- Title:
- Advanced methods for studying soliton solutions of cubic Schrödinger model
- Publication:
-
Berlin: De Gruyter, 2026
- Language:
- English
- Information:
- 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.
- Scope:
- Online-Ressource
- Note:
- Open Access unbekannt
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- nonlinear cubic Schrödinger equation ; analytical methods ; nonlinear wave propagation ; complex solutions
- Classification:
- Naturwissenschaften
- DDC Group:
- 530 Physik
- Collection:
- Naturwissenschaften
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
- Title:
- Advanced methods for studying soliton solutions of cubic Schrödinger model
- Publication:
-
Berlin: De Gruyter, 2026
- Language:
- English
- Information:
- 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.
- Scope:
- Online-Ressource
- Note:
- Open Access unbekannt
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- nonlinear cubic Schrödinger equation ; analytical methods ; nonlinear wave propagation ; complex solutions
- Classification:
- Naturwissenschaften
- DDC Group:
- 530 Physik
- Collection:
- Naturwissenschaften
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
