# Multi-breather solutions to the Sasa–Satsuma equation

@article{Wu2021MultibreatherST,
title={Multi-breather solutions to the Sasa–Satsuma equation},
author={Chengfa Wu and Bo Wei and Changyan Shi and Bao-Feng Feng},
journal={Proceedings of the Royal Society A},
year={2021},
volume={478}
}
• Published 5 November 2021
• Mathematics
• Proceedings of the Royal Society A
General breather solution to the Sasa–Satsuma equation (SSE) is systematically investigated in this paper. We firstly transform the SSE into a set of three Hirota bilinear equations under a proper plane wave boundary condition. Starting from a specially arranged tau-function of the Kadomtsev–Petviashvili hierarchy and a set of 11 bilinear equations satisfied, we implement a series steps of reduction procedure, i.e. C-type reduction, dimension reduction and complex conjugate reduction, and…
4 Citations

## Figures from this paper

• Mathematics
• 2022
General rogue wave solutions to the Sasa-Satsuma equation are constructed by the Kadomtsev-Petviashvili (KP) hierarchy reduction method. These solutions are presented in three diﬀerent forms. The
• Mathematics
Journal of Physics A: Mathematical and Theoretical
• 2022
Up to the third-order rogue wave solutions of the Sasa–Satsuma (SS) equation are derived based on the Hirota’s bilinear method and Kadomtsev–Petviashvili hierarchy reduction method. They are
• Mathematics
Analysis and Mathematical Physics
• 2022
In this paper, we consider a new two-component Sasa–Satsuma equation, which can simulate the propagation and interaction of ultrashort pulses and describe the propagation of femtosecond pulses in
• Physics
Physical review. E
• 2022
Dark soliton is usually seen as one of the simplest topological solitons, due to phase shift across its intensity dip. We investigate phase characters of single-valley dark soliton (SVDS) and

## References

SHOWING 1-10 OF 52 REFERENCES

• Mathematics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2003
The correct bilinearization is given based on the interpretation of the Sasa-Satsuma equation as a reduction of the three-component Kadomtsev-Petviashvili hierarchy and multisoliton formulas are obtained.
In this paper, we reestablish the elementary Darboux transformation for Sasa-Satsuma equation with the aid of loop group method. Furthermore, the generalized Darboux transformation is given with the
The Sasa‐Satsuma equation is a higher order nonlinear Schrodinger type equation which admits bright soliton solutions with internal freedom. We present the dark soliton solutions for the equation by
• Mathematics
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
• 2018
The general n-component nonlinear Schrödinger equations are systematically investigated with the aid of the Darboux transformation method and its extension. Firstly, we explore the condition of the
• Physics
The European Physical Journal Plus
• 2021
In this paper, we calculate the region of emergence of rogue waves in the Sasa–Satsuma equation by performing Penrose stability analysis. We consider Wigner-transformed Sasa–Satsuma equation and
• Mathematics
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
• 2013
The unified transform method is implemented to the initial-boundary value (IBV) problem of the Sasa–Satsuma equation on the half line and the associated general Dirichlet to Neumann map is analysed using the so-called global relation.
• Mathematics, Physics
Nonlinearity
• 2018
General soliton solutions to a nonlocal nonlinear Schrödinger (NLS) equation with PT-symmetry for both zero and nonzero boundary conditions are considered via the combination of Hirota’s bilinear
• Mathematics, Physics
Studies in Applied Mathematics
• 2020
In this paper, the Hirota's bilinear method and Kadomtsev‐Petviashvili hierarchy reduction method are applied to construct soliton, line breather and (semi‐)rational solutions to the nonlocal