当 P = Pc 时，光束束宽不变， 得到孤子解 （ accessible solitons ）； 当 P< Pc 时，光束束宽将作周期性扩展变化；当 P > Pc 时，光束束宽将作周期性压缩变化 [4]
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首先通过变换关系和求解简单的常微分方程，得到了(3 + 1)维破裂孤子方程丰富的孤立波解和周期波解。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
本文得到考虑了色散项后的一维分子晶体模型的孤子激发的运动解。
A moving solution for soliton excitation of a one-dimensional molecular-crystal model with the dispersion term is found.
使用齐次平衡方法，得到了（2+1）维破裂孤子方程的一些新多孤子解。
Using the extension homogeneous balance method, we have obtain some new special types of soliton solutions of the (2 + 1) - dimensional breaking soliton equation.
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