Title of article :
Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
Author/Authors :
Eslami, M. university of mazandaran - Faculty of Mathematical Sciences - Department of Mathematics, بابلسر, ايران , Fathi vajargah, B. university of guilan - Faculty of Mathematical Sciences - Department of Mathematics, رشت, ايران , Mirzazadeh, M. university of guilan - Faculty of Mathematical Sciences - Department of Mathematics, رشت, ايران
Abstract :
In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation. This method is a powerful tool for obtaining exact traveling wave solutions of nonlinear evolution equation. Many exact traveling wave solutions of nonlinear modified Zakharov–Kuznetsov equation are constructed which contain soliton and periodic solutions. The results reveal that the method is very effective and simple.
Keywords :
Homogeneous balance method , Modified Zakharov–Kuznetsov equation , Riccati equation , Soliton , like solution , Periodic , like solution
Journal title :
Ain Shams Engineering Journal
Journal title :
Ain Shams Engineering Journal
