（2+1）维Harry Dym方程的达布变换解

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI:10.1007/s10255-024-1059-x

Meng-yuan Cui, Min Xue, Meng-xia Zhang

引用次数: 0

摘要

给出了（2+1）维Harry Dym方程与修正Kadomtsev-Petviashvili方程通过互反变换的联系。利用达布变换，构造了（2+1）维Harry Dym方程的精确解，并用朗斯基矩阵表示。

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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Solutions of the (2+1)-dimensional Harry Dym Equation via Darboux Transformation Revisited

The link of (2+1)-dimensional Harry Dym equation with the modified Kadomtsev-Petviashvili equation by the reciprocal transformation is shown. With the help of Darboux transformation, exact solutions of the (2+1)-dimensional Harry Dym equation are constructed and represented in terms of Wronskians.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.