Persistence properties of solutions for multi-component Novikov equations

In this article, we investigate the asymptotic behavior of the solution for a multi-component Novikov equation in weighted Sobolev spaces. We introduce a set of weighted functions, and prove that the strong solution will retain the corresponding decay properties when the initial data \(U_0(x)\) and its derivative \(U_{0,x}(x)\) decay logarithmically, algebraically, and exponentially at infinity. For more information see https://ejde.math.txstate.edu/Volumes/2025/27/abstr.html