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- Title
Painlevé Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrödinger Equation.
- Authors
Kudryashov, Nikolay A.; Lavrova, Sofia F.
- Abstract
The second partial differential equation from the Kaup–Newell hierarchy is considered. This equation can be employed to model pulse propagation in optical fiber, wave propagation in plasma, or high waves in the deep ocean. The integrability of the explored equation in traveling wave variables is investigated using the Painlevé test. Periodic and solitary wave solutions of the studied equation are presented. The investigated equation belongs to the class of generalized nonlinear Schrödinger equations and may be used for the description of optical solitons in a nonlinear medium.
- Subjects
SCHRODINGER equation; WAVE analysis; PARTIAL differential equations; THEORY of wave motion; OPTICAL solitons; LIGHT propagation; TRAVELING waves (Physics); NONLINEAR Schrodinger equation
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 11, p1632
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12111632