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dc.contributor.authorAn, Hongli ( )
dc.contributor.authorKwong, Mankam ( )
dc.contributor.authorYuen, Manwai ( Orcid Icon 0000-0002-5035-3555 )
dc.date.accessioned2022-03-30T15:58:52Z
dc.date.available2022-03-30T15:58:52Z
dc.date.issued2017-02-16
dc.identifier.citationAn, H., Kwong, M., & Yuen, M. (2017). Perturbational self-similar solutions for multi-dimensional Camassa-Holm-type equations. Electronic Journal of Differential Equations, 2017(48), pp. 1-12.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15574
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.en_US
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCamassa-Holm equationen_US
dc.subjectElliptic symmetryen_US
dc.subjectMulti-dimensional Camassa-Holm-type systemen_US
dc.subjectPerturbational solutionsen_US
dc.titlePerturbational self-similar solutions for multi-dimensional Camassa-Holm-type equationsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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