Work

General rogue wave solutions to the Sasa–Satsuma equation

Year: 2024

Type: article

Abstract: General rogue wave solutions to the Sasa–Satsuma (SS) equation are constructed by the Kadomtsev–Petviashvili reduction method. These solutions are presented in terms of Schur polynomials, utilizing a new approach that incorporates a kernel of $2\times 2$ matrix in the Gram-type determinant solutions of the bilinear equations within the KP hierarchy. In addition, rogue wave patterns are graphically illustrated, revealing that the rogue wave patterns of the SS equation are structurally similar to those of the nonlinear Schrödinger equation for rogue waves up to fifth-order.

Source: IMA Journal of Applied Mathematics

DOI: 10.1093/imamat/hxaf003

Authors: Chengfa Wu, Guangxiong Zhang, Changyan Shi, Bao-Feng Feng

Institutions: Shenzhen University, 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: green