$(2+1)$-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.

arXiv comment12 pages

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Cited by in corpus (1)

• Local and nonlocal $(2+1)$-dimensional Maccari systems and their soliton solutions