Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity

Syed T R Rizvi; Aly R Seadawy; K Ali; M Younis; M A Ashraf

doi:10.1007/s11082-022-03606-x

Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity

Opt Quantum Electron. 2022;54(4):212. doi: 10.1007/s11082-022-03606-x. Epub 2022 Mar 13.

Authors

Syed T R Rizvi¹, Aly R Seadawy², K Ali¹, M Younis³, M A Ashraf¹

Affiliations

¹ Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan.
² Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia.
³ PUCIT, University of the Punjab, Lahore, Pakistan.

Abstract

This article retrieve lump, lump with one kink and rogue wave soliton for the time fractional resonant nonlinear Schrödinger equation with parabolic law having weak nonlocal nonlinearity. According to theory of dynamical systems, Schrödinger equation may be converted into plane systems. We use Hirota bilinear method to obtained these solutions. At the end, we present graphical representation of our results in various dimensions.

Keywords: Fractional NLSE; Multiple lump solitons; Nonlinearities.