He’s variational method for the Benjamin–Bona–Mahony equation and the Kawahara equation

Variational principles for the generalized Benjamin–Bona–Mahony equation and the Kawahara equation are established using He’s semi-inverse method. The solitary solutions are obtained using the Ritz method.

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2009-12, Vol.58 (11), p.2420-2422
Main Authors: Ye, Yan-Hai, Mo, Lu-Feng
Format: Article
Language:English
Subjects:
BBM equation
Kawahara equation
Solitary solution
Variational principle
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Description
Summary:Variational principles for the generalized Benjamin–Bona–Mahony equation and the Kawahara equation are established using He’s semi-inverse method. The solitary solutions are obtained using the Ritz method.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2009.03.026