Work

Existence, Uniqueness, Stability and Exact Expression of Periodic Traveling Wave Solutions of the Higher-Order Cubic-Quintic Nonlinear Schrödinger Equation

Year: 2025

Type: article

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.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-025-00338-w

Authors: Nan Wang, Yuqian Zhou, Zhijun Qiao

Institutions: Chengdu University of Information Technology, The University of Texas Rio Grande Valley

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,490

Funder: Natural Science Foundation of Sichuan Province