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Zbl 1185.35225
Gomez S, Cesar A.
New traveling waves solutions to generalized Kaup-Kupershmidt and Ito equations. (English)
[J] Appl. Math. Comput. 216, No. 1, 241-250 (2010). ISSN 0096-3003

Summary: We consider a special fifth-order KdV equation with constant coefficients and we obtain traveling wave solutions for it, using the projective Riccati equation method. By means of scaling, exact solutions to general Kaup-Kupershmidt (KK) equation are obtained. As a particular case, exact solutions to standard KK equation can be derived. Using the same method, we obtain exact solutions to standard Ito equation. By means of scaling, new exact solutions to general Ito equation are formally derived.

MSC 2000:: *35Q53 KdV-like equations
35C07
35A24

Keywords: fifth-order KdV equations; standard KK equation; general KK equation; standard Ito equation; general Ito equation; traveling wave solutions; projective Riccati equation method

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Zentralblatt MATH Berlin [Germany]