Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces | Zendy

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Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces

Author(s) -

Paul Bracken

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/210304

Subject(s) - mathematics , integrable system , riemann hypothesis , geometric function theory , riemann surface , mathematical analysis , riemann problem , geometry , pure mathematics , uniformization theorem , riemann–hurwitz formula

The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical applications and soliton solutions can be determined from the components of the relevant metric for the space. The manifolds of interest are surfaces and higher-dimensional Riemannian spaces. Methods for specifying integrable evolutions of surfaces by means of these equations will also be presented

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