Shifted nonlocal Kundu type equations: Soliton solutions

TL;DR

This paper investigates soliton solutions of shifted nonlocal Kundu type equations and their reductions, providing explicit one- and two-soliton solutions for various integrable systems using Hirota's method.

Contribution

It introduces new shifted nonlocal reductions of the Kundu type system and derives explicit soliton solutions for these and related integrable equations.

Findings

Explicit one- and two-soliton solutions for reduced systems

New shifted nonlocal reductions of Kundu type equations

Application of Hirota bilinear method to these systems

Abstract

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.