可积非线性波动模型:达布变换及其精确解

IF 4.6 2区数学 Q1 MATHEMATICS, APPLIED

Applied and Computational Mathematics Pub Date : 2023-02-23 DOI:10.11648/j.acm.20231201.11

Jingru Geng, Minna Feng

引用次数: 0

摘要

孤子方程是由非线性偏微分方程描述的无限维可积系统。在孤子方程的数学理论中，这些方程的可积性的发现极大地促进了对它们的普遍性的理解

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An Integrable Nonlinear Wave Model: Darboux Transform and Exact Solutions

: Soliton equations are inﬁnite-dimensional integrable systems described by nonlinear partial differential equations. In the mathematical theory of soliton equations, the discovery of integrability of these equations has greatly promoted the understanding of their generality

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来源期刊

Applied and Computational Mathematics 数学-应用数学

CiteScore

8.80

自引率

5.00%

发文量

审稿时长

6 months

期刊介绍： Applied and Computational Mathematics (ISSN Online: 2328-5613, ISSN Print: 2328-5605) is a prestigious journal that focuses on the field of applied and computational mathematics. It is driven by the computational revolution and places a strong emphasis on innovative applied mathematics with potential for real-world applicability and practicality. The journal caters to a broad audience of applied mathematicians and scientists who are interested in the advancement of mathematical principles and practical aspects of computational mathematics. Researchers from various disciplines can benefit from the diverse range of topics covered in ACM. To ensure the publication of high-quality content, all research articles undergo a rigorous peer review process. This process includes an initial screening by the editors and anonymous evaluation by expert reviewers. This guarantees that only the most valuable and accurate research is published in ACM.