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规范2+1维Dym方程的新推广:可通过Painlevé II约化求解的移动边界问题

A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction

Colin Rogers, Sandra Carillo

arXiv 2610.02927首次发表:更新:

发表机构

University of New South Wales; National Institute for Nuclear Physics (I.N.F.N.)(新南威尔士大学; 意大利国家核物理研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文推广了2+1维Dym方程,通过Painlevé II对称性约化,求解了广义Stefan型移动边界问题。

AI 中文摘要

本文提出了对Konopelchenko和Dubrovsky最初引入的规范2+1维孤子Dym方程的一种带时间调制的推广。利用所允许的Painlevé II对称性约化,推导出一类相关的2+1维广义Stefan型非线性移动边界问题的精确解。

英文摘要

An extension with temporal modulation is presented of the canonical 2 + 1-dimensional solitonic Dym equation as originally introduced by Konopelchenko and Dubrovsky. Application is made of admitted Painleve' II symmetry reduction to derive exact solution to a class of associated 2 + 1-dimensional nonlinear moving boundary problems of generalized Stefan-type.

论文原文

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