Application of the Cole-Hopf Transformation for Finding Exact Solutions to Several Forms of the Seventh-Order KdV Equation
Joint Authors
Gómez S., Cesar A.
Salas S, Alvaro H.
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We use a generalized Cole-Hopf transformation to obtain a condition that allows us to find exact solutions for several forms of the general seventh-order KdV equation (KdV7).
A remarkable fact is that this condition is satisfied by three well-known particular cases of the KdV7.
We also show some solutions in these cases.
In the particular case of the seventh-order Kaup-Kupershmidt KdV equation we obtain other solutions by some ansatzes different from the Cole-Hopf transformation.
American Psychological Association (APA)
Salas S, Alvaro H.& Gómez S., Cesar A.. 2010. Application of the Cole-Hopf Transformation for Finding Exact Solutions to Several Forms of the Seventh-Order KdV Equation. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-453506
Modern Language Association (MLA)
Salas S, Alvaro H.& Gómez S., Cesar A.. Application of the Cole-Hopf Transformation for Finding Exact Solutions to Several Forms of the Seventh-Order KdV Equation. Mathematical Problems in Engineering No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-453506
American Medical Association (AMA)
Salas S, Alvaro H.& Gómez S., Cesar A.. Application of the Cole-Hopf Transformation for Finding Exact Solutions to Several Forms of the Seventh-Order KdV Equation. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-453506
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453506
