مشروع البحث: On finding exact solutions of some nonlinear partial differential equations based on Riccati oquation
تحميل...
المساهمين
الممولين
رقم التعريف
7001
الباحث
محمد عمر المريض
الوصف
This thesis deals with problems arising in the study of nonlinear partial differential
equations (PDEs). Three methods have applied for constructing the exact traveling
wave solutions of some nonlinear PDEs with the aid of the generalized Riccati
equation
2
'( ) r p ( ) q ( ) and Maple software. This thesis contains three
chapters.
In chapter one, we apply the generalized Riccati equation mapping method to find
the exact traveling wave solutions of the generalized nonlinear Gardner equation and
the generalized KdV-mKdV equation with higher-order nonlinear terms.
In chapter two, we apply the Bäcklund transformation of the Riccati equation to
find the exact traveling wave solutions of the generalized KdV-mKdV equation with
higher-order nonlinear terms and the nonlinear Kolmogorov-Petrovskii-Piskunov
(KPP) equation.
In chapter three, we apply the (G′/G)-expansion method to find the exact traveling
wave solutions of the nonlinear PDE describing the nonlinear low-pass electrical lines
and the nonlinear modified KdV equation.
Finally, comparison between our recent results and the well-known results is given.
We end this abstract with the remark that, we have published two papers from this
thesis, see [19].
الكلمات الدالة
On finding exact solutions of some nonlinear partial differential equations based on Riccati oquation