Lax Pairs and Darboux Transformations for Euler Equations

2001/01/25 by Yanguang Charles Li, Li, Yanguang Charles, Artyom V. Yurov +1
Mathematics · Physics and Astronomy · #76 34 35 37 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #math.AP #msc:34 #msc:35 #msc:37 #msc:76

paper · pdf · doi:10.48550/arxiv.math/0101214

arxiv created 2001/01/25 · openalex publication_date 2001/01/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we will report the recent developments on Lax pairs and Darboux transformations for Euler equations of inviscid fluids.

Citations

• Nonstationary flows of viscous and ideal fluids in R3

Related

• Integrable Structures for 2D Euler Equations of Incompressible Inviscid Fluids
• A Lax Pair for 2D Euler Equation
• Vortices, circumfluence, symmetry groups and Darboux transformations of the Euler equations
• Isospectral Theory of Euler Equations
• Lax Pair Covariance and Integrability of Compatibility Condition