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基于含扰动的非线性薛定谔方程，发展了高登（Ｇｏｒｄｏｎ）的光孤子相互作用理论，直接从近似的二孤子解得到描述实际光纤孤子通讯中孤子间的相互作用的解析公式。公式表明在实际的通讯系统中光纤孤子间的相互作用不仅依赖于它们之间相对相差，而且依赖于它们的相对能量、速度差随传输距离的变化。本文还利用这个扩展的理论一般性地讨论了扰动对孤子相互作用的影响，对１９８７、１９８９、１９９０年在ＯｐｔｉｃｓＬｅｔｔｅｒｓ上所报道关于相互作用的实验现象加以定性解释
Based on the perturbed nonlinear Schrödinger equation, Gordon’s theory of optical soliton interaction is developed, and the analytic formula describing the soliton interaction in optical fiber soliton communication is derived directly from the approximate two-soliton solution. The formula shows that the interaction between optical fiber solitons in an actual communication system depends not only on the relative difference between them but also on their relative energies and the speed difference as a function of the transmission distance. We also use this extended theory to discuss in general the effect of perturbations on soliton interactions and to interpret the experimental phenomena of interactions reported in Optics Letters of 1987, 1989 and 1990