Semi-stability of embedded solitons in the general fifth-order KdV equation
نویسندگان
چکیده
منابع مشابه
Semi-stability of embedded solitons in the general fifth-order KdV equation
Evolution of perturbed embedded solitons in the general Hamiltonian fifth-order Korteweg–de Vries (KdV) equation is studied. When an embedded soliton is perturbed, it sheds a one-directional continuous-wave radiation. It is shown that the radiation amplitude is not minimal in general. A dynamical equation for velocity of the perturbed embedded soliton is derived. This equation shows that a neut...
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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, thes...
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ژورنال
عنوان ژورنال: Wave Motion
سال: 2002
ISSN: 0165-2125
DOI: 10.1016/s0165-2125(02)00016-1