Bai Cheng-Lin, Zhao Hong
School of Physics Science and Information Engineering, Liaocheng University, Shandong 252059, China.
Chaos. 2006 Sep;16(3):033106. doi: 10.1063/1.2218378.
By means of a special variable separation approach, a common formula with two arbitrary functions has been obtained for suitable physical quantity of (1+1)-dimensional model such as Boiti-Leon-Pempinelli-Spire system. Based on the derived formula, some significant types of solitons such as compacton, peakon, and loop solutions localized in space and periodical in time are simultaneously constructed from the (1+1)-dimensional soliton system by entrancing appropriate piecewise smooth functions and multivalued functions.
通过一种特殊的变量分离方法，对于诸如博伊蒂 - 莱昂 - 彭皮内利 - 斯派尔系统等(1 + 1)维模型的合适物理量，得到了一个带有两个任意函数的通用公式。基于推导得出的公式，通过引入适当的分段光滑函数和多值函数，从(1 + 1)维孤子系统中同时构造出了一些重要类型的孤子，如紧子、尖峰子以及在空间中局域且在时间上周期性的环解。
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