geometric integrability
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scholarly journals Geometric Integrability of the Camassa–Holm Equation. II

2011 ◽  
Vol 2012 (13) ◽  
pp. 3089-3125 ◽  
Author(s):  
Rafael Hernández Heredero ◽  
Enrique G. Reyes
Keyword(s):  
Holm Equation ◽  
Geometric Integrability

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.

scholarly journals INTRINSIC FORMULATION OF GEOMETRIC INTEGRABILITY AND ASSOCIATED RICCATI SYSTEM GENERATING CONSERVATION LAWS

2009 ◽  
Vol 06 (05) ◽  
pp. 825-837 ◽  
Author(s):  
PAUL BRACKEN
Keyword(s):  
Conservation Laws ◽  
Infinite Number ◽  
Integrability Theorem ◽  
Geometric Integrability

An intrinsic version of the integrability theorem for the classical Bäcklund theorem is presented. It is characterized by a one-form which can be put in the form of a Riccati system. It is shown how this system can be linearized. Based on this result, a procedure for generating an infinite number of conservation laws is given.

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