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arXiv · 2212.01646

Darboux transformation and soliton solutions of the generalized Sasa-Satsuma equation

Hong-Qian Sun·Zuo-Nong Zhu
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Abstract

The Sasa-Satsuma equation, a higher-order nonlinear Schrödinger 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) for the focusing and defocusing gSS equation is constructed. By using the DT, various of soliton solutions for the generalized Sasa-Satsuma equation are derived, including hump-type, breather-type and periodic soliton. Dynamics properties and asymptotic behavior of these soliton solutions are analyzed. Infinite number conservation laws and conserved quantities for the gSS equation are obtained.

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Hong-Qian Sun, Zuo-Nong Zhu. 2022-12-03. Darboux transformation and soliton solutions of the generalized Sasa-Satsuma equation. https://doi.org/10.7566/jpsj.92.064003

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