School of Mathematical & Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
10-29-2025
Abstract
In this paper, the high-order cubic-quintic nonlinear Schrödinger equation is considered. By overcoming the difficulties caused by its non-integrability, we completely explore the existence, uniqueness and stability of the limit cycle of the equation. It enables us to accurately give the explicit parameter representation of its periodic wave solution in a special form for the first time. These results provide not only a new idea of obtaining periodic solutions in complex nonlinear systems, but also the important theoretical support for understanding related wave phenomena.
Recommended Citation
Wang, Nan, Yuqian Zhou, and Zhijun Qiao. "Existence, Uniqueness, Stability and Exact Expression of Periodic Traveling Wave Solutions of the Higher-Order Cubic-Quintic Nonlinear Schrödinger Equation." Journal of Nonlinear Mathematical Physics 32, no. 1 (2025): 87. https://doi.org/10.1007/s44198-025-00338-w
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Publication Title
Journal of Nonlinear Mathematical Physics
DOI
10.1007/s44198-025-00338-w
Comments
This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it.