Perturbational self-similar solutions for multi-dimensional Camassa-Holm-type equations

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dc.contributor.authorAn, Hongli
dc.contributor.authorKwong, Mankam
dc.contributor.authorYuen, Manwai
dc.date.accessioned2022-03-30T15:58:52Z
dc.date.available2022-03-30T15:58:52Z
dc.date.issued2017-02-16
dc.description.abstractIn this article, we sutdy a multi-component Camassa-Holm-type system. By employing the characteristic method, we obtain a class of perturbational self-similar solutions with elliptical symmetry, whose velocity components are governed by the generalized Emden equations. In particular, when n=1, these solutions constitute a generalization of that obtained by Yuen in [38]. Interestingly, numerical simulations show that the analytical solutions obtained can be used to describe the drifting phenomena of shallow water flows. In addition, the method proposed can be extended to other mathematical physics models such as higher-dimensional Hunter-Saxton equations and Degasperis-Procesi equations.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAn, H., Kwong, M., & Yuen, M. (2017). Perturbational self-similar solutions for multi-dimensional Camassa-Holm-type equations. <i>Electronic Journal of Differential Equations, 2017</i>(48), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15574
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCamassa-Holm equation
dc.subjectElliptic symmetry
dc.subjectMulti-dimensional Camassa-Holm-type system
dc.subjectPerturbational solutions
dc.titlePerturbational self-similar solutions for multi-dimensional Camassa-Holm-type equations
dc.typeArticle

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