Wave fronts to some modifications of Korteweg–de Vries and Burgers–Korteweg–de Vries equations
Volume 101 / 2014
Banach Center Publications 101 (2014), 163-168
MSC: Primary 34B15; Secondary 35Q53, 35A24.
DOI: 10.4064/bc101-0-13
Abstract
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.
