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dc.contributor.authorHuang, Y.
dc.contributor.authorWu, Yong Hong
dc.contributor.authorMeng, F.
dc.contributor.authorYuan, W.
dc.date.accessioned2017-01-30T10:59:09Z
dc.date.available2017-01-30T10:59:09Z
dc.date.created2015-10-29T04:09:29Z
dc.date.issued2014
dc.identifier.citationHuang, Y. and Wu, Y.H. and Meng, F. and Yuan, W. 2014. All exact traveling wave solutions of the combined KdV-mKdV equation. Advances in Difference Equations. 2014: Article ID 261.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/7341
dc.identifier.doi10.1186/1687-1847-2014-261
dc.description.abstract

In this article, we employ the complex method to obtain all meromorphic solutions of complex combined Korteweg-de Vries-modified Korteweg-de Vries equation (KdV-mKdV equation) at first, then we find all exact traveling wave solutions of the combined KdV-mKdV equation. The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all rational and simply periodic exact traveling wave solutions of the combined KdV-mKdV equation are solitary wave solutions, the complex method is simpler than other methods, and there exist some rational solutions wr,2(z)wr,2(z) and simply periodic solutions ws,2(z)ws,2(z) such that they are not only new but also not degenerated successively by the elliptic function solutions. We believe that this method should play an important role in finding exact solutions in mathematical physics. We also give some computer simulations to illustrate our main results.

dc.publisherSpringer Verlag
dc.titleAll exact traveling wave solutions of the combined KdV-mKdV equation
dc.typeJournal Article
dcterms.source.volume2014
dcterms.source.number1
dcterms.source.issn1687-1839
dcterms.source.titleAdvances in Difference Equations
curtin.note

This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/

curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access


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