摘要: Abstract In this paper, we propose a complex negative order AKNS equation and coupled equation. They are integrable due to the existence of Lax pairs. Furthermore, find their multi-soliton solutions in terms Pfaffians by virtue Hirota’s bilinear method. One- two-soliton investigated detail exhibiting favorable evolution properties. Especially, same as nonlinear Schrodinger equation, inelastic interactions energy re-distribution happen between two solitons, that has potential applications deserve further study.
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