Multiple lump and interaction solutions for fifth-order variable coefficient nonlinear-Schrödinger dynamical equation

S T R Rizvi; Aly R Seadawy; K Ali; M A Ashraf; Saeed Althubiti

doi:10.1007/s11082-022-03532-y

Multiple lump and interaction solutions for fifth-order variable coefficient nonlinear-Schrödinger dynamical equation

Opt Quantum Electron. 2022;54(3):154. doi: 10.1007/s11082-022-03532-y. Epub 2022 Feb 9.

Authors

S T R Rizvi¹, Aly R Seadawy², K Ali¹, M A Ashraf^{1

2}, Saeed Althubiti³

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 Department of Mathematics, College of Science, Taif University, P.O. Box 11099, 21944 Taif, Saudi Arabia.

Abstract

Lump and their interactions with kink, periodic and rogue waves, and periodic cross lump waves will be studied for fifth-order variable coefficient nonlinear-Schrödinger equation in this paper. With the combinations of bilinear, exponent, and trigonometric functions, we'll study different lump soliton solutions. With interaction phenomenon we'll set up some new analytical solutions and also represents them in graphical ways.

Keywords: Ansatz transformations; Multiple lump-solitons; Periodic cross lump waves; Variable coefficient NLSE.