Articles with "satsuma equation" as a keyword



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Optical solitons with Sasa–Satsuma equation

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Published in 2020 at "Optik"

DOI: 10.1016/j.ijleo.2020.165183

Abstract: Abstract This paper obtains soliton solutions of the Sasa–Satsuma model which governs the propagation of solitons through an optical fiber. Bright, dark, singular and combo-singular soliton solutions are recovered by the application of four integration… read more here.

Keywords: sasa satsuma; optical solitons; solitons sasa; satsuma equation ... See more keywords
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Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method

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Published in 2019 at "Journal of Mathematical Physics"

DOI: 10.1063/1.5061793

Abstract: We formulate a $3\times3$ Riemann-Hilbert problem to solve the Cauchy problem for the Sasa-Satsuma equation on the line, which allows us to give a representation for the solution of Sasa-Satsuma equation. We then apply the… read more here.

Keywords: steepest descent; sasa satsuma; nonlinear steepest; satsuma equation ... See more keywords
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Darboux Transformation and Soliton Solutions of the Generalized Sasa–Satsuma Equation

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Published in 2022 at "Journal of the Physical Society of Japan"

DOI: 10.7566/jpsj.92.064003

Abstract: The Sasa-Satsuma equation, a higher-order nonlinear Schr\"{o}dinger equation, is an important integrable equation, which displays the propagation of femtosecond pulses in optical fibers. In this paper, we investigate a generalized Sasa-Satsuma(gSS) equation. The Darboux transformation(DT)… read more here.

Keywords: equation; satsuma equation; generalized sasa; soliton solutions ... See more keywords