Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems

Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems
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DOI:
10.1007/s00205-012-0598-0
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发表时间:
2012-12
影响因子:
2.5
通讯作者:
Shuangjie Peng;Zhi-Qiang Wang
Shuangjie Peng;Zhi-Qiang Wang
中科院分区:
数学1区
文献类型:
--
作者:
Shuangjie Peng;Zhi-Qiang Wang

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我们考察了非线性耦合对解结构的影响。在排斥情况下,构造了分离型非径向正向量解的无界序列,在吸引情况下,构造了同步型非径向正向量解的无界序列。根据系统是排斥的还是吸引的,我们的结果显示出向量解的明显特征。
We examine the effect of nonlinear coupling on the solution structure. In the repulsive case, we construct an unbounded sequence of non-radial positive vector solutions of segregated type, and in the attractive case we construct an unbounded sequence of non-radial positive vector solutions of synchronized type. Depending upon the system being repulsive or attractive, our results exhibit distinct characteristic features of vector solutions.