A vector super Newell long-wave-short-wave equation and infinite conservation laws

Based on the zero-curvature equation and Lenard recursion equations, we propose a vector super long-wave-short-wave hierarchy associated with an ( n + 2 ) × ( n + 2 ) matrix spectral problem. A typical member in the hierarchy is the vector super Newell long-wave-short-wave equation. An infinite set of conservation laws for the vector super Newell long-wave-short-wave equation is constructed by using Liouville’s formula and the resulting super Riccati equation.