Jérôme Leon, Gilbert Reinisch, J. C. Fernandez
Abstract
To the extent that a sine-Gordon soliton may be viewed as a mass point in a given potential $V(x)$, we propose the resulting modified sine-Gordon equation which takes this potential into account and leads to a Newtonian dynamics of the kink in $V(x)$.
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To the extent that a sine-Gordon soliton may be viewed as a mass point in a given potential $V(x)$, we propose the resulting modified sine-Gordon equation which takes this potential into account and leads to a Newtonian dynamics of the kink in $V(x)$.
Key concepts: Sine, sine-Gordon equation, Physics, Soliton, Classical mechanics, Point particle, Mathematical physics, Point (geometry)