Green-Naghdi方程的精确解
The Exact Solution of the Green-Naghdi Equation
DOI: 10.12677/aam.2025.142072, PDF,   
作者: 谭 璞：南华大学数理学院，湖南 衡阳；潘超红*：湖南第一师范学院数学与统计学院，湖南 长沙
关键词: Green-Naghdi方程；分支方法；精确解；Green-Naghdi Equation； Bifurcation Method； Exact Solution
摘要: 文章利用动力系统定性理论和分支方法研究Green-Naghdi方程的精确解，并计算出它在三种参数条件情况下的精确显式解。
Abstract: This article uses qualitative theory and branch methods of dynamical systems to study the exact solution of the Green-Naghdi equation and calculates its exact explicit solution under three parameter conditions.
文章引用：谭璞, 潘超红. Green-Naghdi方程的精确解[J]. 应用数学进展, 2025, 14(2): 302-308. https://doi.org/10.12677/aam.2025.142072

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