 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| Yu.Yu. Bagderina, "Rational solutions of fifth-order evolutionary equations for describing waves on water," J. Appl. Math. Mech. 72 (2), 180-191 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
2 |
Pages |
180-191 |
| Title |
Rational solutions of fifth-order evolutionary equations for describing waves on water |
| Author(s) |
Yu.Yu. Bagderina (Ufa, Russia, yulya@mail.rb.ru) |
| Abstract |
A method is proposed for obtaining the exact solutions of evolutionary equations in the form of a rational function. Invariant manifolds of the equations are used which have the same form of dependence on the required function and its derivatives as the generalized Riccati equations. Using fifth-order Kawahara and Korteweg-de Vries equations as an example, it is shown that their known particular solutions can be obtained using this method. New solutions of a non-linear fifth-order equation, which is encountered when describing long waves on water, are obtained. |
| Received |
13 September 2006 |
| Link to Fulltext |
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