论文标题
多组分分解，线性叠加和新的非线性集成耦合KDV型系统
Multi-component decompositions, linear superpositions, and new nonlinear integrable coupled KdV-type systems
论文作者
论文摘要
非线性集成系统的分解存在不仅允许我们建立所谓的线性叠加解决方案，而且还可以得出新的非线性集成耦合系统。将我们的注意力限制在潜在BKP层次结构的单个成分分解上，我们获得了某些分解溶液的合适的线性叠加仍然满足相同的方程式。同时，成功的尝试是通过潜在BKP层次结构的多组分分解来构建线性叠加解决方案和新的非线性集成耦合KDV型系统的多组分分解，从而使相关变量的变化无法分解。
The existence of decompositions of the nonlinear integrable systems not only permits us to establish so-called linear superposition solutions but also to derive new nonlinear integrable coupled systems. Restricting our attention to the single component decompositions of the potential BKP hierarchy, we obtain that suitable linear superpositions of some decomposition solutions still satisfy the same equations. In parallel, successful attempts are made by multi-component decompositions of the potential BKP hierarchy to construct linear superposition solutions and new nonlinear integrable coupled KdV-type systems that a change of dependent variables cannot decouple.
