Open AccessGeometric characteristics for Camassa–Holm equation
Author(s) -
A. Mussatayeva,
N. Myrzakulov,
Aziza Altaibayeva
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1391/1/012169
Subject(s) - camassa–holm equation , integrable system , curvature , partial differential equation , differential equation , nonlinear system , soliton , mathematics , bernoulli differential equation , mathematical analysis , first order partial differential equation , physics , exact differential equation , geometry , quantum mechanics
One of the actual problems of mathematical physics is to relate differential geometry and nonlinear differential equation. Research in this direction is very important, as the results are a theoretical and practical application. In this paper, we investigate the Camassa-Holm equation. It is well known that the integrable nonlinear Camassa-Holm equation play an important role in the study of wave propagation. We present the relationship between Camassa-Holm equation and soliton surfaces. The rst and second fundamental forms, surface area and curvature for Camassa-Holm equation are found.