数学
可积系统
等级制度
叠加原理
分解
简单(哲学)
类型(生物学)
纯数学
非线性系统
财产(哲学)
数学分析
线性方程
域代数上的
量子力学
物理
生物
认识论
生态学
哲学
经济
市场经济
作者
Xiazhi Hao,Lou Sen-Yue
摘要
The existence of decomposition solutions of the well-known nonlinear BKP hierarchy is explored. It is shown that these decompositions provide simple and interesting relationships between classical integrable systems and the BKP hierarchy. Further, some special decomposition solutions display a rare property: they can be linearly superposed. With the emphasis on the case of the fifth BKP equation, the structure characteristic having linear superposition solutions is analyzed. Finally, we obtain similar superposed solutions in the dispersionless BKP hierarchy.
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