Solutions to nonlocal nonisospectral (2+1)-dimensional breaking soliton equations

TL;DR

This paper explores nonlocal reductions of a complex (2+1)-dimensional soliton equation, deriving various solutions including solitons and Jordan-block types, and analyzing their dynamics using a double Wronskian technique.

Contribution

It introduces a novel application of double Wronskian reduction to nonlocal (2+1)-dimensional breaking soliton equations, deriving new solution types and analyzing their dynamics.

Findings

Derived soliton and Jordan-block solutions for nonlocal equations

Analyzed the dynamics of the obtained solutions

Extended the solution techniques to nonlocal (2+1)-dimensional equations

Abstract

Nonlocal reductions of a nonisospectral (2+1)-dimensional breaking soliton Ablowitz-Kaup-Newell-Segur equation are discussed on the base of double Wronskian reduction technique. Various types of solutions, including soliton solutions and Jordan-block solutions, for the resulting nonlocal equations are derived. Dynamics of these obtained solutions are analyzed and illustrated.