2021/10/03 by Aslı Pekcan, Pekcan, Aslı
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
paper · pdf · doi:10.48550/arxiv.2110.01047
25 pages, 11 figures
arxiv created 2021/12/24 · arxiv updated 2021/12/28
We study the local and shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen-Lee-Liu, Gerdjikov-Ivanov, and Kaup-Newell systems. We obtain one- and two-soliton solutions of these systems and their local and shifted nonlocal reductions by the Hirota bilinear method. We present particular examples for one- and two-soliton solutions of the reduced local and shifted nonlocal Chen-Lee-Liu, Gerdjikov-Ivanov, and Kaup-Newell equations.