×

Exact solutions for a compound KdV-Burgers equation. (English) Zbl 0972.35526

Summary: The exact solutions of a compound KdV-Burgers equation are obtained by using a homogeneous balance method. Particular important cases of the equation, such as the compound KdV, mKdV-Burgers, KdV-Burgers as well as mKdV, KdV equations can be solved by this method.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C05 Solutions to PDEs in closed form
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Johnson, R. S., J. Fluid Mech., 42, 49 (1970) · Zbl 0213.54904
[2] Canosa, J.; Gazdag, J., J. Comput. Phys., 23, 393 (1977) · Zbl 0356.65107
[3] Bona, J. L.; Schonbek, M. E., (Proc. Soc. Edinburgh A, 101 (1985)), 207 · Zbl 0594.76015
[4] Jian-Jun, S., J. Phys. A, 20, 149 (1987)
[5] Shulin, Xiong, Kexue Tongbao, 1, 26 (1989), (in Chinese)
[6] Mingliang, Wang, Mathematica Applicata, 3, 1, 51 (1995)
[7] Mingling, Wang, Phys. Lett. A, 199, 169 (1995)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.