Work

Derivation and Multisoliton Solutions of the High‐Order Fractional Nonlinear SchröDinger Equation for the Rossby Waves

Year: 2025

Type: article

Abstract: ABSTRACT Fractional models are generally more adept at providing a detailed description of the dynamic behavior in complex oceanic systems. In this paper, starting from the fractional barotropic nondivergent vorticity equation, a high‐order fractional nonlinear Schrödinger equation is derived to describe the evolution of Rossby waves in fractal. The derivation method in this paper differs from traditional approaches used for fractional equations, resulting in a more concise process. To study the solutions of the equation, we apply the Darboux transformation method and obtain the fractional multisoliton solutions for the equation. Then we create visual representations of the fractional soliton solutions and discuss the impact of fractional coefficients on the amplitude and wave width of Rossby waves.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11005

Authors: Yi Liu, Huanhe Dong, Baojun Zhao, Jingjing Li, Xiaofeng Han

Institutions: Shandong University of Science and Technology, Yangzhou University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4410109926

FWCI: 0.443

Cites: 47

Cited by: 1

Related to: 10