Solitary wave simulations of Complex Modified Korteweg-de Vries (CMKdV) Equation using Quintic Trigonometric B-Spline
نویسندگان
چکیده
منابع مشابه
On Solitary-Wave Solutions for the Coupled Korteweg – de Vries and Modified Korteweg – de Vries Equations and their Dynamics
which can be considered as a coupling between the KdV (with respect to u) and the mKdV (with respect to v) equations. The coupled KdV-mKdV equations were proposed by Kersten and Krasil’shchik [1] and originate from a supersymmetric extension of the classical KdV [2]. It also can be considered as a coupling between the KdV and mKdV equations: By setting v = 0 we obtain the KdV equation ut + uxxx...
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Abstract We prove local existence and uniqueness of solutions of the focusing modified Korteweg de Vries equation ut+u 2 ux+uxxx = 0 in classes of unbounded functions that admit an asymptotic expansion at infinity in decreasing powers of x. We show that an asymptotic solution differs from a genuine solution by a smooth function that is of Schwartz class with respect to x and that solves a gener...
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is a physically important nonlinear Galilean-invariant system describing slow changes in linear waves due to a combination of nonlinearity, dispersion and dissipative effects [1]. When the dissipation is dominant, (1) is known to possess shock-like solitary waves [2] while in the pure dispersive limit (y = 0), (1) admits the well known K-dV solitons [3]. In the case of weak dissipation in (1), ...
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The interaction of a strongly nonlinear solitary wave with an external force is studied using the extended Korteweg-de Vries equation as a model. This equation has several different families of nonlinear wave solutions: solitons, the so-called ”thick” solitons, algebraic solitons, and breathers, depending upon the sign of the cubic nonlinear term. A simple nonlinear dynamical system of the seco...
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ژورنال
عنوان ژورنال: Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler
سال: 2018
ISSN: 2146-0272
DOI: 10.20290/aubtdb.396560