Elliptical vortex solutions, integrable Ermakov structure, and Lax pair formulation of the compressible Euler equations

Hongli An, Engui Fan, Haixing Zhu

Type: Article

Publication Date: 2015-01-20

Citations: 5

DOI: https://doi.org/10.1103/physreve.91.013204

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Physical Review E - View
PubMed - View

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Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	Lax Pairs and Darboux Transformations for Euler Equations	2003	Yanguang Li A. V. Yurov
+ PDF Chat	The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0	1950	Edmund Pinney
+	The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations	1997	Roger Témam Xiaoming Wang
+ PDF Chat	Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits	1966	Vladimir I. Arnold
+	Nonlinear superposition law for generalized Ermakov systems	1980	John R. Ray
+ PDF Chat	Exact spiral solutions of the two-dimensional Euler equations	1997	Tong Zhang Yuxi Zheng
+	A Lax pair for the two dimensional Euler equation	2001	Yanguang Li
+	Ermakov systems of arbitrary order and dimension: structure and linearization	1996	W. K. Schief C. Rogers Andrew P. Bassom
+ PDF Chat	Lax pair formulation for the Euler equation	1990	Susan Friedlander Misha Vishik
+	Exact, infinite energy, blow-up solutions of the three-dimensional Euler equations	2003	John Gibbon David Moore J. T. Stuart