Abstract

REZAZADEH, H. et al. Soliton solution of generalized Zakharov-Kuznetsov and Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations with conformable temporal evolution. Rev. mex. fis. [online]. 2021, vol.67, n.5, 050701.  Epub Mar 28, 2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.67.050701.

In this paper, we propose the method of functional variable for finding soliton solutions of two practical problems arising in electronics, namely, the conformable time-conformable Generalized Zakharov-Kuznetsov equation (GZKE) and the conformable time-conformable Generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahoney equation (GZK-BBM). The soliton solutions are expressed by two types of functions which are hyperbolic and trigonometric functions.

Keywords : Functional variable method; generalized Zakharov-Kuznetsov equation; GZK-BBM equation; conformable derivative.