scholarly journals The Camassa–Holm equation as an incompressible Euler equation: A geometric point of view

2018 ◽  
Vol 264 (7) ◽  
pp. 4199-4234 ◽  
Author(s):  
Thomas Gallouët ◽  
François-Xavier Vialard
Keyword(s):  
Euler Equation ◽  
Point Of View ◽  
Incompressible Euler Equation ◽  
Holm Equation ◽  
Geometric Point ◽  
Incompressible Euler

scholarly journals Geometric Integrability of Some Generalizations of the Camassa-Holm Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-13
Author(s):  
Ognyan Christov
Keyword(s):  
Point Of View ◽  
Holm Equation ◽  
Pseudospherical Surfaces ◽  
Geometric Point ◽  
Geometric Integrability

We study the Camassa-Holm (CH) equation and recently introducedμCH equation from the geometric point of view. We show that Kupershmidt deformations of these equations describe pseudospherical surfaces and hence are geometrically integrable.

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