On some integrability aspects of the two-component Camassa–Holm equation

The integrability of the two-component Camassa–Holm shallow water equation with the gravity acceleration points downwards and upwards is investigated by prolongation structure theory and the geometric approach of pseudo-spherical surfaces. It is shown that this equation is completely integrable in s...

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Bibliographic Details
Main Author: Deng-Shan Wang
Format: Article
Language:English
Published: Elsevier 2022-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818122000377