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تسجيل مستخدم جديدTransparent boundary conditions for the sine-Gordon equation:Modeling the reflectionless propagation of kink solitons on a line
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We consider the reflectionless transport of sine-Gordon solitons on a line. Transparent boundary conditions for the sine-Gordon equation on a line are derived using the so-called potential approach. Our numerical implementation of these novel boundary conditions proves the absence of the backscattering in transmission of sine-Gordon solitons through the boundary of the considered finite domains.
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