$(2+1)$-dimensional AKNS($-N$) Systems: $N=3,4$

Abstract

In this work we continue to study negative AKNS($N$) that is AKNS($-N$) system for $N=3,4$. We obtain all possible local and nonlocal reductions of these equations. We construct the Hirota bilinear forms of these equations and find one-soliton solutions. From the reduction formulas we obtain also one-soliton solutions of all reduced equations.

12 pages

References in corpus (2)

• Periodic and Hyperbolic Soliton Solutions of a Number of Nonlocal PT-Symmetric Nonlinear Equations
• Solutions of local and nonlocal equations reduced from the AKNS hierarchy