新型昆都非线性薛定谔方程的 N 索利子解法和黎曼-希尔伯特方法

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-02-07 DOI:10.1016/j.wavemoti.2024.103293

Yipu Chen, Biao Li

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引用次数: 0

摘要

本文应用反散射法研究了具有零边界条件的新型昆都-非线性薛定谔方程（nKundu-NLS）。本文提出了一个合适的黎曼-希尔伯特问题（Riemann-Hilbert problem，RHP），并用洛朗展开法求解。通过洛朗级数，论文得到了不同反射系数情况下的 RHP 解，如单极和多极。论文证明了反散射法求解 nKundu-NLS 的有效性和通用性。

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N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach

This paper investigates the novel Kundu-nonlinear Schrödinger equation (nKundu-NLS) with zero boundary conditions by applying the inverse scattering method. A suitable Riemann–Hilbert problem (RHP) is formulated and solved by the Laurent expansion method. Through the Laurent series, the paper obtains the solutions of the RHP for different cases of the reflection coefficient, such as single and multiple poles. The paper demonstrates the effectiveness and generality of the inverse scattering method for solving the nKundu-NLS.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.