论文标题
ITO键入耦合的KDV方程的Darboux Wronskian解决方案,具有精确的词素溶液和保守的密度
Darboux Wronskian solutions of Ito typed coupled KdV equation with exact solitonic solutions and conserved densities
论文作者
论文摘要
在本文中,我们在Darboux框架中得出了与Hirota Satsuma Systems相关的ITO类型耦合KDV方程的Darboux解决方案。然后,我们将$ n $ fold的darboux转换从沃斯克人(Wronskians)概括。我们还在零种子溶液的背景下为该系统的耦合场变量得出了精确的多旋值解。最后一节通过其riccati方程将连续性方程的推导带有几个保守的密度。
In this article, we derive the Darboux solutions of Ito type coupled KdV equation in Darboux framework which is associated with Hirota Satsuma systems. Then we generalise $N$-fold Darboux transformations in terms of Wronskians. We also derive the exact multi-solitonic solutions for the coupled field variables of that system in the background of zero seed solutions. The last section encloses the derivation of continuity equation with several conserved densities through its Riccati equation.