论文标题
正弦方程的透明边界条件：对线上的扭结孤子的反射传播建模
Transparent boundary conditions for the sine-Gordon equation:Modeling the reflectionless propagation of kink solitons on a line
论文作者
论文摘要
我们认为正弦孤子的无反射运输在一条线上。使用所谓的潜在方法得出线上正弦方程的透明边界条件。我们对这些新型边界条件的数值实现证明了正弦孤子通过所考虑的有限域的边界传播的反向散射。
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.
