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借助于PainlevBcklund变换和多线性变量分离方法, 求得了(2+1)维非线性BoitiLeonPempinelle系统的一般变量分离解.根据得到的一般解, 可以构建出丰富的局域相干结构, 如峰状孤子、紧致子等. 得到了两种新的局域结构——钟状圈孤子和峰状圈孤子, 并简要讨论了这两种圈孤子的一些特殊演化性质.
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关键词:
- BoitiLeonPempinelle系统 /
- 多线性变量分离法 /
- 钟状圈孤子 /
- 峰状圈孤子
In this work, starting from a Painlev-Bcklund transformation and a multil inear variable separation approach, a general variable separation excitation of the three-dimensional Boiti-Leon-Pempinelli system is derived first. Then based on the derived excitation, we can construct many localized structures like pe akons and compactons etc. Meanwhile, two new types of solitary waves, i.e., a b ell-like loop soliton and a peak-like loop soliton are constructed and their e volution properties of the novel localized structures are briefly discussed.-
Keywords:
- Boiti-Leon-Pempinelli system /
- multilinear variable separation approach /
- bell-like loop soliton /
- peak-like loop soliton







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