The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-13,
author = {Bogdan Przeradzki and Katarzyna Szyma\'nska-D\k ebowska},
title = {Wave fronts to some modifications of Korteweg-de Vries and Burgers-Korteweg-de Vries equations},
journal = {Banach Center Publications},
volume = {102},
year = {2014},
pages = {163-168},
zbl = {1300.34098},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-13}
}
Bogdan Przeradzki; Katarzyna Szymańska-Dębowska. Wave fronts to some modifications of Korteweg-de Vries and Burgers-Korteweg-de Vries equations. Banach Center Publications, Tome 102 (2014) pp. 163-168. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-13/