New soliton molecules to couple of nonlinear models: ion sound and Langmuir waves systems

Syed T R Rizvi; Aly R Seadawy; S Oan Abbas; Komal Naz

doi:10.1007/s11082-022-04276-5

New soliton molecules to couple of nonlinear models: ion sound and Langmuir waves systems

Opt Quantum Electron. 2022;54(12):852. doi: 10.1007/s11082-022-04276-5. Epub 2022 Oct 22.

Authors

Syed T R Rizvi¹, Aly R Seadawy², S Oan Abbas¹, Komal Naz¹

Affiliations

¹ Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan.
² Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, 41411 Kingdom of Saudi Arabia.

Abstract

In this paper, we will study two various nonlinear models: the Atangana-Baleanu fractional system of equations for the ion sound and Langmuir waves (ISALWs) and Hirota Ramani equation to obtain variety of solitary wave solutions. We will obtain bright, dark, periodic wave and solitory wave for ISALWs equation. We will also retreived bell type, kink type, singular, Jacbion elliptic function, Weierstrass-elliptic function, hyperbolic functions, periodic functions and other solitary wave solutions for Hirota Ramani equation using Sub ODE technique under some constraint conditions. At the end we will present our solutions with the help of graphs in distinct dimensions.

Keywords: Fractional calculus; Integrability; Solitons.

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