Interaction properties of complex modified Korteweg–de Vries (mKdV) solitons
نویسندگان
چکیده
منابع مشابه
On the generation of solitons and breathers in the modified Korteweg-de Vries equation.
We consider the evolution of an initial disturbance described by the modified Korteweg-de Vries equation with a positive coefficient of the cubic nonlinear term, so that it can support solitons. Our primary aim is to determine the circumstances which can lead to the formation of solitons and/or breathers. We use the associated scattering problem and determine the discrete spectrum, where real e...
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We show that an interacting double soliton solution to the perturbed mKdV equation (1.1). is close in H2 to a double soliton following an effective dynamics obtained as Hamilton’s equations for the restriction of the mKdV Hamiltonian to the submanifold of solitons. The interplay between algebraic aspects of complete integrability of the unperturbed equation and the analytic ideas related to sol...
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Solitary wave interaction for a higher-order modified Korteweg-de Vries (mKdV) equation is examined. The higher-order mKdV equation can be asymptotically transformed to the mKdV equation, if the higher-order coefficients satisfy a certain algebraic relationship. The transformation is used to derive the higher-order two-soliton solution and it is shown that the interaction is asymptotically elas...
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Under certain mode-matching conditions, small-amplitude waves can be trapped by coupling to solitons of nonlinear fields. We present a model for this phenomenon, consisting of a linear equation coupled to the Korteweg–de Vries (KdV) equation. The model has one parameter, a coupling constant κ. For one value of the coupling constant, κ = 1, the linear equation becomes the linearized KdV equation...
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هدف از این مطالعه بررسی امکان استفاده از داروهای شناخته شده در درمان سایر بیماریها به عنوان داروهای ضد سرطان است. همچنین با استفاده از این داروها در ساختمان کمپلکس فلز می توان شاخص های دارویی بدست آمده را بررسی نمود. داروی ضد ویروس ایدز(hiv)به نام زیدوودین(azt)انتخاب و.کمپلکس.محلول.در.آب[pt(azt)2]cl2سنتزو به روشهای مختلف فیزیکی و شیمیایی شناسایی گردید. بر هم کنش مقایسه ای این دارو و کمپلکس پلا...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2011
ISSN: 0167-2789
DOI: 10.1016/j.physd.2011.06.003