Lump-Type Solutions, Lump Solutions, and Mixed Rogue Waves for Coupled Nonlinear Generalized Zakharov Equations

Aly R. Seadawy (), Syed T. R. Rizvi and Hanadi Zahed
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Aly R. Seadawy: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah 41411, Saudi Arabia
Syed T. R. Rizvi: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Islamabad 45550, Pakistan
Hanadi Zahed: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah 41411, Saudi Arabia

Mathematics, 2023, vol. 11, issue 13, 1-17

Abstract: This article studies diverse forms of lump-type solutions for coupled nonlinear generalized Zakharov equations (CNL-GZEs) in plasma physics through an appropriate transformation approach and bilinear equations. By utilizing the positive quadratic assumption in the bilinear equation, the lump-type solutions are derived. Similarly, by employing a single exponential transformation in the bilinear equation, the lump one-soliton solutions are derived. Furthermore, by choosing the double exponential ansatz in the bilinear equation, the lump two-soliton solutions are found. Interaction behaviors are observed and we also establish a few new solutions in various dimensions (3D and contour). Furthermore, we compute rogue-wave solutions and lump periodic solutions by employing proper hyperbolic and trigonometric functions.

Keywords: CNL-GZE; lump-type solitons; rogue wave; appropriate transformation technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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