Geometric characteristics for Camassa–Holm equation. (November 2019)

• Record Type: Journal Article
• Authors: Mussatayeva, Assem; Myrzakulov, Nurgissa; Altaibayeva, Aziza
• Is Part Of: Journal of physics. Volume 1391(2019)
• Publication Date: 2019-11
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1391/1/012169
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: 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.