Article ID Journal Published Year Pages File Type
8946268 Journal of Differential Equations 2018 30 Pages PDF
Abstract
Firstly, a formal correspondence is established between the Camassa-Holm (CH) equation and a two-component modified CH (or called SQQ) equation according to the method of moment modification for multipeakon formulae. Secondly, based on the generalized nonisospectral CH equation in Chang et al. (2014) [14] and the interlacing multipeakons of the two-component modified CH equation in Chang et al. (2016) [15], we propose a new generalized two-component modified CH equation with two parameters, which possesses a nonisospectral Lax pair. The proposed equation still admits multipeakon solutions of explicit and closed form. Sufficient conditions for global existence of solutions are given and two concrete examples with certain interesting phenomenon are presented. Last of all, as a by-product, a generalized nonisospectral modified CH equation is deduced, together with its Lax pair.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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