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Bosonization and new interaction solutions for the coupled Korteweg-de Vries system
Waves in Random and Complex Media Pub Date : 2018-07-03 , DOI: 10.1080/17455030.2018.1489565
Weiping Cao 1 , Jinxi Fei 1 , Zhengyi Ma 2 , Qing Liu 1
Affiliation  

The novel coupled Korteweg-de Vries (KdV) system is derived under the condition named anyon-n algebra. The dark parameterization method is applied into the KdV system, thus, we can obtain new coupled integrable system represented by Lax pairs, and abundant new solution structures are found. It is proved that the dark parameterization procedure is very useful to find new integrable systems and solve nonlinear coupled systems.



中文翻译:

耦合的Korteweg-de Vries系统的玻化和新的交互解决方案

新型耦合Korteweg-de Vries(KdV)系统是在名为anyon-n代数的条件下导出的。将暗参数化方法应用到KdV系统中,从而可以得到以Lax对表示的新耦合可积系统,并找到了大量新的解结构。事实证明,暗参数化程序对于发现新的可积系统和求解非线性耦合系统非常有用。

更新日期:2020-03-30
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