Stationary Solitons of the Fifth Order KdV-type Equations and Their Stabilization
نویسندگان
چکیده
Exact stationary soliton solutions of the fifth order KdV type equation ut + αu ux + βu3x + γu5x = 0 are obtained for any p (> 0) in case αβ > 0, Dβ > 0, βγ < 0 (where D is the soliton velocity), and it is shown that these solutions are unstable with respect to small perturbations in case p ≥ 5. Various properties of these solutions are discussed. In particular, it is shown that for any p, these solitons are lower and narrower than the corresponding
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