具有非零边界条件的拉克什曼-波尔舍-丹尼尔方程的黎曼-希尔伯特方法和孤子解

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Communications in Theoretical Physics Pub Date : 2024-09-12 DOI:10.1088/1572-9494/ad6b1c

Yilin Wang and Biao Li

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引用次数: 0

摘要

我们构建了具有非零边界条件的拉克什曼-波齐安-丹尼尔方程的黎曼-希尔伯特问题，并利用劳伦展开和泰勒级数展开得到了一个高阶极点和多个高阶极点情况下孤子解的精确公式。演示了一个简单极点、一个二阶极点和一个简单极点加一个二阶极点的动态行为。

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Riemann–Hilbert approach and soliton solutions for the Lakshmanan–Porsezian–Daniel equation with nonzero boundary conditions

We construct the Riemann–Hilbert problem of the Lakshmanan–Porsezian–Daniel equation with nonzero boundary conditions, and use the Laurent expansion and Taylor series expansion to obtain the exact formulas of the soliton solutions in the case of a higher-order pole and multiple higher-order poles. The dynamic behaviors of a simple pole, a second-order pole and a simple pole plus a second-order pole are demonstrated.

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来源期刊

Communications in Theoretical Physics 物理-物理：综合

CiteScore

5.20

自引率

3.20%

发文量

6110

审稿时长

4.2 months

期刊介绍： Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.