通过$\bar{\partial }$$方法重访萨萨-萨摩方程的高阶孤子解

IF 1.4 4区物理与天体物理 Q2 MATHEMATICS, APPLIED

Journal of Nonlinear Mathematical Physics Pub Date : 2023-12-07 DOI:10.1007/s44198-023-00160-2

YongHui Kuang, Bolin Mao, Xin Wang

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引用次数: 0

摘要

在光学领域，Sasa-Satsuma 方程可以用来模拟超短光脉冲。本文用 $\bar{\partial }$ 方法分析了在无穷远处具有零边界条件的 Sasa-Satsuma 方程的高阶孤子解。给出了一个孤子解的显式行列式，它对应于一个 $p_{l}$-th 阶极点。此外，还考虑了与一个简单极点和另一个双极点相关的相互作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Higher-order soliton solutions for the Sasa–Satsuma equation revisited via $$\bar{\partial }$$ method$

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Higher-order soliton solutions for the Sasa–Satsuma equation revisited via $$\bar{\partial }$$ method

In optics, the Sasa–Satsuma equation can be used to model ultrashort optical pulses. In this paper higher-order soliton solutions for the Sasa–Satsuma equation with zero boundary condition at infinity are analyzed by $\bar{\partial }$ method. The explicit determinant form of a soliton solution which corresponds to a single $p_{l}$-th order pole is given. Besides the interaction related to one simple pole and the other one double pole is considered.

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来源期刊

Journal of Nonlinear Mathematical Physics PHYSICS, MATHEMATICAL-PHYSICS, MATHEMATICAL

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: -Nonlinear Equations of Mathematical Physics- Quantum Algebras and Integrability- Discrete Integrable Systems and Discrete Geometry- Applications of Lie Group Theory and Lie Algebras- Non-Commutative Geometry- Super Geometry and Super Integrable System- Integrability and Nonintegrability, Painleve Analysis- Inverse Scattering Method- Geometry of Soliton Equations and Applications of Twistor Theory- Classical and Quantum Many Body Problems- Deformation and Geometric Quantization- Instanton, Monopoles and Gauge Theory- Differential Geometry and Mathematical Physics