Browsing Faculty of Natural and Agricultural Sciences by Subject "Simplest equation method"
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Conservation Laws and Exact Solutions of a Generalized Zakharov Kuznetsov Equation
(Mdpi Ag, 2015)In this paper, we study a generalized Zakharov–Kuznetsov equation in three variables, which has applications in the nonlinear development of ion-acoustic waves in a magnetized plasma. Conservation laws for this equation ... -
Exact solutions and conservation laws for a generalized double combined sinh-cosh-Gordon equation
(Springer, 2016)In this paper we study a generalized double combined sinh–cosh–Gordon equation, which appears in a wide range of physical applications. It admits geometric interpretation as the differential equation which determines ... -
On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system
(Springer, 2014)In this paper we study the coupled Drinfeld-Sokolov-Satsuma-Hirota system, which was developed as one example of nonlinear equations possessing Lax pairs of a special form. Also this system was found as a special case of ... -
Travelling wave solutions of a two-dimensional generalized Sawada-Kotera equation
(Springer, 2016)Lie symmetry analysis is performed on a two-dimensional generalized Sawada-Kotera equation, which arises in various problems in mathematical physics. Exact solutions are obtained using the Lie point symmetries method and ...