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

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 so...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-07, Vol.11 (13), p.2856
Main Authors: Seadawy, Aly R., Rizvi, Syed T. R., Zahed, Hanadi
Format: Article
Language:English
Subjects:
appropriate transformation technique
CNL-GZE
Food science
lump-type solitons
Partial differential equations
Physics
Plasma physics
rogue wave
Solitary waves
Theoretical physics
Transformations (mathematics)
Trigonometric functions
Water waves
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11132856