Double reduction of second order Benjamin-Ono equation via conservation laws and the exact solutions

In this study, the Benjamin-Ono equation which was first introduced to describe internal waves in stratified fluids are considered. Using the association between Lie point symmetries and local conserved vectors, a reduction in both the number of variables and the order of the equation is achieved. T...

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Bibliographic Details
Published in:	Balıkesir Üniversitesi Fen Bilimleri Enstitüsü dergisi Vol. 23; no. 1; pp. 210 - 223
Main Author:	Sağlam Özkan,Yeşim
Format:	Journal Article
Language:	English
Published:	Balıkesir Üniversitesi Fen Bilimleri Enstitüsü 2021
Subjects:	Eğitim Bilimleri Matematik Mühendislik Türkiye Balıkesir Benjamin-Ono equation korunum vektörleri Double reduction method Çift indirgeme yöntemi Benjamin-Ono denklemi conservation vectors
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Summary:	In this study, the Benjamin-Ono equation which was first introduced to describe internal waves in stratified fluids are considered. Using the association between Lie point symmetries and local conserved vectors, a reduction in both the number of variables and the order of the equation is achieved. The auxiliary equation method successfully applied to the reduced equation and different types of solutions are obtained. Moreover, some graphical representations for special values of the parameters in solutions are presented.
ISSN:	1301-7985 1301-7985
DOI:	10.25092/baunfbed.848234