边界条件对非传播孤子运动的影响

EFFECTS OF THE BOUNDARY CONDITIONS ON THE NON-PROPAGATING SOLITONS

用延拓法处理了非线性边值问题.指出第一类和第二类边界对非传播孤子的影响分别等效于某种势垒或势阱对经典弹性粒子的作用.研究了一对反相孤子在边界作用下的运动规律并得到与实验一致的结果.

The non-linear boundary value problems are treated with the mothod of continuation. It is pointed out that the effects on the non-propagating solitons of the first/second kind boundary is equivalent to those of a certain potential barrier/well on the classical elastic particles. The motion of a pair of solitons with opposite polarities under the influence of the boundary is studied, the result is consistent with the experiment.