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April, 2021 The Nonlinear Steepest Descent Approach for Long Time Behavior of the Two-component Coupled Sasa-Satsuma Equation with a $5 \times 5$ Lax Pair
Xiu-Bin Wang, Bo Han
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Taiwanese J. Math. 25(2): 381-407 (April, 2021). DOI: 10.11650/tjm/200806

Abstract

Under investigation in this work is the coupled Sasa-Satsuma equation, which can describe the propagations of two optical pulse envelopes in birefringent fibers. The Riemann-Hilbert problem for the equation is formulated on the basis of the corresponding $5 \times 5$ matrix spectral problem, which allows us to present a suitable representation for the solution of the equation. Then the Deift-Zhou steepest descent method is used to analyze the long time behavior of the coupled Sasa-Satsuma equation.

Funding Statement

This work is supported by the National Natural Science Foundation of China under Grant No. 11871180.

Acknowledgments

We express our sincere thanks to the editor and reviewer for their valuable comments.

Citation

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Xiu-Bin Wang. Bo Han. "The Nonlinear Steepest Descent Approach for Long Time Behavior of the Two-component Coupled Sasa-Satsuma Equation with a $5 \times 5$ Lax Pair." Taiwanese J. Math. 25 (2) 381 - 407, April, 2021. https://doi.org/10.11650/tjm/200806

Information

Received: 15 June 2020; Revised: 8 August 2020; Accepted: 26 August 2020; Published: April, 2021
First available in Project Euclid: 24 March 2021

Digital Object Identifier: 10.11650/tjm/200806

Subjects:
Primary: 35C99, 35Q51, 35Q53, 68W30, 74J35

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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Vol.25 • No. 2 • April, 2021
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