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

Abstract

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.

Keywords

• Vector super Newell long-wave-short-wave equation
• Integrability
• Conservation laws