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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:2111.03266 (nlin)
[Submitted on 5 Nov 2021]

Title:Multi-breather solutions to the Sasa-Satsuma equation

Authors:Chengfa Wu, Bo Wei, Changyan Shi, Bao-Feng Feng
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Abstract:General breather solution to the Sasa-Satsuma (SS) equation is systematically investigated in this paper. We firstly transform the SS equation into a set of three Hirota bilinear equations under proper plane wave background. Starting from a specially arranged tau-function of the Kadomtsev-Petviashvili hierarchy and a set of eleven bilinear equations satisfied, we implement a series steps of reduction procedure, i.e., C-type reduction, dimension reduction and complex conjugate reduction, and reduce these eleven equations to three bilinear equations for the SS equation. Meanwhile, general breather solution to the SS equation is found in determinant of even order. The one- and two-breather solutions are calculated and analyzed in details.
Comments: 28 pages, 8 figures
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)
MSC classes: 35C08, 35Q55
Cite as: arXiv:2111.03266 [nlin.SI]
  (or arXiv:2111.03266v1 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.2111.03266
Related DOI: https://doi.org/10.1098/rspa.2021.0711

Submission history

From: Bao-Feng Feng [view email]
[v1] Fri, 5 Nov 2021 05:20:08 UTC (4,431 KB)
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