Investigation of optical solitons to the nonlinear complex Kundu-Eckhaus and Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations in conformable

Haci Mehmet Baskonus; Wei Gao

doi:10.1007/s11082-022-03774-w

Investigation of optical solitons to the nonlinear complex Kundu-Eckhaus and Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations in conformable

Opt Quantum Electron. 2022;54(6):388. doi: 10.1007/s11082-022-03774-w. Epub 2022 Jun 5.

Authors

Haci Mehmet Baskonus¹, Wei Gao²

Affiliations

¹ Faculty of Education, Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey.
² School of Information Science and Technology, Yunnan Normal University, Yunnan, China.

Abstract

This research manuscript focuses on the extraction of dark-bright solitons and periodic wave distributions of two models, namely, the Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation and complex Kundu-Eckhaus equation with conformable derivative. To reach these important properties, the generalized exponential rational function method is considered. To observe wave distributions in periodic and singular sense, dynamical behaviour modulus of solutions are also archived. Strain conditions for validity of results obtained in this paper are also reported.

Keywords: Dark-bright solitons; Dual-power law nonlinearity; Hyperbolic roots; Nonlinear complex Kundu–Eckhaus equation with conformable; Periodic waves; Solitary and singular waves; Strain conditions; The generalized exponential rational function method; Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation.