Darboux Wronskian解：Ito型耦合KdV方程的精确孤子解与守恒密度
Darboux Wronskian solutions of Ito typed coupled KdV equation with exact solitonic solutions and conserved densities
AI总结：
本文在Darboux框架下推导Ito型耦合KdV方程的Wronskian形式的N重Darboux变换，获得零背景下精确多孤子解，并推导含守恒密度的连续性方程。
摘要：
本文在Darboux框架下推导了与Hirota Satsuma系统相关联的Ito型耦合KdV方程的Darboux解。随后，我们以Wronskian形式推广了N重Darboux变换。我们还推导了该系统在零种子解背景下耦合场变量的精确多孤子解。最后一部分通过其Riccati方程推导了包含若干守恒密度的连续性方程。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
