Stationary solitons of the fifth order KdV-type. Equations and their stabilization
نویسندگان
چکیده
منابع مشابه
Stationary Solitons of the Fifth Order KdV-type Equations and Their Stabilization
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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The Kawahara and modified Kawahara equations are fifth-order KdV type equations and have been derived to model many physical phenomena such as gravitycapillary waves and magneto-sound propagation in plasmas. This paper establishes the local well-posedness of the initial-value problem for Kawahara equation in H(R) with s > − 4 and the local well-posedness for the modified Kawahara equation in H(...
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We have derived solitary wave solutions of generalized KdV-type equations of fifth order in terms of certain hyperbolic functions and investigated their stability. It has been found that the introduction of more dispersive effects increases the stability range. 2000 Mathematics Subject Classification. 35Q53.
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The adiabatic parameter dynamics of solitons, due to fifth order KdV-type equations with power law nonlinearity, is obtained with the aid of soliton perturbation theory. In addition, the small change in the velocity of the soliton, in the presence of perturbation terms, is also determined in this work. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملSome Exact Solutions of Two Fifth Order KdV-Type Nonlinear Partial Differential Equations
We consider the generalized integrable fifth order nonlinear Korteweg-de Vries (fKdV) equation. The extended Tanh method has been used rigorously, by computational program MAPLE, for solving this fifth order nonlinear partial differential equation. The general solutions of the fKdV equation are formed considering an ansatz of the solution in terms of tanh. Then, in particular, some exact soluti...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1996
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(96)00772-4