Novikov equation describing pseudo-spherical surfaces, its pseudo-potentials, and local isometric immersion

Freire, Igor Leite; Tito, Rodrigo da Silva

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Novikov equation describing pseudo-spherical surfaces, its pseudo-potentials, and local isometric immersion

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Author(s):	Freire, Igor Leite ^[1] ; Tito, Rodrigo da Silva ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, Santo Andre, SP - Brazil ^[2] Programa Posgrad Matemat, Santo Andre, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	STUDIES IN APPLIED MATHEMATICS; v. 148, n. 2 OCT 2021.
Web of Science Citations:	0
Abstract
We show that an equation discovered in V. Novikov {[}Generalizations of the Camassa-Holm equation, J Phys A: Math Theor. 2009; 42: paper 342002] describes pseudo-spherical surfaces and is geometrically integrable. From the geometric structure of the equation we obtain an infinite hierarchy of conservation laws. The problem of local isometric immersions is also considered. (AU)

FAPESP's process:	20/02055-0 - Novikov equations with quadratic non-linearities: structural and qualitative properties
Grantee:	Igor Leite Freire
Support Opportunities:	Regular Research Grants

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