Solitons and dynamics for the integrable nonlocal pair-transition-coupled nonlinear Schrödinger equation

Yu Lou, Yi Zhang, Rusuo Ye and Miao Li

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: In this paper, we investigate the integrable nonlocal pair-transition-coupled nonlinear Schrödinger equation with the help of the loop group method. By constructing the Darboux transformation associated with a variable separation technique, some new soliton solutions such as the doubly-periodic bright/dark/antidark soliton, X-shaped kink, rogue wave-like soliton, mixed type kink and double breather (hump) and different types of novel rational solutions are easily derived. The obtained results are different from the solutions of the local nonlinear equations and nonlocal nonlinear Schrödinger equation. With appropriate choices of free parameters, the wave structures have large changes. Furthermore, the dynamic characteristic of soliton solutions are discussed on the basics of figures.

Keywords: The nonlocal pair-transition-coupled nonlinear Schrödinger equation; Loop group method; Darboux transformation; Variable separation technique; Solitons; Rational solutions (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321005063

DOI: 10.1016/j.amc.2021.126417

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