Coupled superposed solutions in nonlinear nonlocal equations

We obtain novel periodic as well as hyperbolic solutions of an Ablowitz-Musslimani variant of the coupled nonlocal, nonlin-ear Schrodinger equation (NLS) as well as a coupled nonlocal modified Korteweg-de Vries (mKdV) equation which can be re -expressed as a linear superposition of the sum or the difference of two hyperbolic or two periodic kink or pulse solutions. Be-sides, we also discuss some of the other solutions admitted by these coupled equations. These results demonstrate that the no-tion of the superposed solutions extends to the coupled nonlocal nonlinear equations as well. (c) 2023 Elsevier Inc. All rights reserved.

Automated summary

We investigate novel periodic and hyperbolic solutions of an Ablowitz-Musslimani variant of the coupled nonlocal, nonlinear Schrödinger equation and a coupled nonlocal modified Korteweg-de Vries equation, which can be expressed as a linear superposition of two hyperbolic or two periodic kink or pulse solutions. Additionally, we discuss other solutions admitted by these coupled equations. These findings highlight the extension of the notion of superposed solutions to coupled nonlocal nonlinear equations.