https://doi.org/10.1140/epjp/s13360-022-03236-y
Regular Article
Breather and soliton solutions of semi-discrete negative order AKNS equation
Department of Physics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
Received:
4
November
2021
Accepted:
23
August
2022
Published online:
10
September
2022
In this paper, I propose the semi-discrete version of the negative order AKNS equation. I study the discrete Darboux and binary Darboux transformations in order to construct the multi-soliton solutions and also the binary Darboux matrix for the negative order AKNS equation. By the iteration of binary Darboux transformation, I obtain the quasi-Grammian solutions for the system. Further, I derive the explicit solutions for the binary Darboux matrix and then reduce them to the elementary Darboux transformation solutions and plot the dynamics of breather and soliton solutions.
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