Stationary Solitons of the Fifth Order KdV-type Equations and their Stabilization

B. Dey, Avinash Khare C. Nagaraja Kumar

Exact stationary soliton solutions of the fifth order KdV type equation $$u_t+\alpha u^p{u}_x+\beta u_{3x}+\gamma u_{5x}=0$$ are obtained for any p ($>0$) in case $\alpha \beta >0$, $D\beta >0$, $\beta \gamma <0$ (where…