一类新的达布可积偏微分方程
A new family of Darboux integrable partial differential equations
首次发表
浏览论文内容
中文总结 AI 辅助
本文构造了一类新的达布可积偏微分方程，其两个特征方向积分的最小阶数可同时任意高，揭示达布可积方程的完整列表或远超现有认知。
中文摘要 AI 辅助
本文构造了一类新的达布可积偏微分方程，该类方程在两个特征方向上的积分最小阶数可同时任意高，这表明达布可积方程的完整列表可能包含比目前已知多得多的方程。
英文摘要
A new family of Darboux integrable partial differential equations is constructed. The minimal orders of integrals in both characteristics can simultaneously be arbitrarily high for equations within this family. This suggests that the complete list of Darboux integrable equations may contain substantially more equations than are currently known.
