Complexiton solutions to soliton equations by the Hirota method
Complexiton solutions to soliton equations by the Hirota method
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DOI：
10.1063/1.4996358
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发表时间：
2017-10
影响因子：
1.3
通讯作者：
Yuan Zhou;W. Ma
中科院分区：
文献类型：
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作者：
Yuan Zhou;W. Ma
我们应用Hirota直接方法来构造复子解（复子）。关键是使用Hirota双线性形式。我们证明了在2N-孤子解中取共轭波变量对生成N-复形解。利用一般理论构造了Korteweg-de弗里斯方程的多重解。
We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to use Hirota bilinear forms. We prove that taking pairs of conjugate wave variables in the 2N-soliton solutions generates N-complexion solutions. The general theory is used to construct multi-complexion solutions to the Korteweg–de Vries equation.