The Two-Component Camassa–Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
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Publication:5737699
DOI10.1142/S1402925112400025zbMATH Open1362.35229arXiv1204.3738OpenAlexW2105305045MaRDI QIDQ5737699
Author name not available (Why is that?)
Publication date: 30 May 2017
Published in: (Search for Journal in Brave)
Abstract: Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples, J. Phys A: Math. Theor. 43, 492001 (20pp), 2010]. We consider two of those systems, denoted by Holm and Ivanov by CH(2,1) and CH(2,2), and report a class of integrating factors and its corresponding conservation laws for these two systems. In particular, we obtain the complete sent of first-order integrating factors for the systems in Cauchy-Kovalevskaya form and evaluate the corresponding sets of conservation laws for CH(2,1) and CH(2,2).
Full work available at URL: https://arxiv.org/abs/1204.3738
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