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arXiv · 2004.00905

Construction of multiple soliton solutions of the quintic nonlinear Schrodinger equation

Zhou-Zheng Kang·Tie-Cheng Xia
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Abstract

In this paper, an extended nonlinear Schrodinger equation with higher-order that includes fifth-order dispersion with matching higher-order nonlinear terms is investigated under zero boundary condition at infinity. Carrying out the spectral analysis, a kind of matrix Riemann-Hilbert problem is formulated on the real axis. Then on basis of the resulting matrix Riemann-Hilbert problem under restriction of no reflection, multiple soliton solutions of the extended nonlinear Schrodinger equation are generated explicitly.

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Zhou-Zheng Kang, Tie-Cheng Xia. 2020-04-02. Construction of multiple soliton solutions of the quintic nonlinear Schrodinger equation. https://arxiv.org/abs/2004.00905

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