Painleve analysis and exact solutions for the modified Korteweg–de Vries equation with polynomial source

Nikolay A. Kudryashov and Yulia S. Ivanova

Applied Mathematics and Computation, 2016, vol. 273, issue C, 377-382

Abstract: The modified Korteweg–de Vries equation with polynomial source is considered. Using the Painleve test we show that the generalized Korteweg–de Vries equation is not integrable by the inverse scattering transform. However there are some expansions of solution in the Laurent series and some exact solutions can exist. Some traveling wave solutions of the modified Korteweg–de Vries equation with polynomial source are found.

Keywords: Modified Korteweg–de Vries equation; Painlevé property; Exact solutions; Painlevé test; Logistic function (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315013387
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:377-382

DOI: 10.1016/j.amc.2015.10.006

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().