In this paper, the conservation laws for a model with both quadratic and cubic nonlinearity
\begin{eqnarray*}
m_{t}=bu_{x}+\frac{1}{2}a\left[ \left( u^{2}-u_{x}^{2}\right) m\right] _{x}+%
\frac{1}{2}c\left( 2m\cdot u_{x}+m_{x}\cdot u\right) ;\text{ \ \ }m=u-u_{xx}
\end{eqnarray*}%
are considered for the six cases of coefficients. By using a variational derivative approach, conservation laws were constructed. The computations to derive multipliers and conservation law fluxes are conducted by using a Maple-based package which is called GeM.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 20 Aralık 2019 |
Gönderilme Tarihi | 5 Temmuz 2019 |
Kabul Tarihi | 2 Ekim 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 2 Sayı: 2 |