Homoclinic and N-soliton solutions to variable-coefficient KP equation arising two-temperature ions in dusty plasma

In this article, a variable-coefficient Kadomtsev–Petviashvili (VCKP) equation is studied by using the Hirota technique. The formulae of the bilinear equation via the bilinear transformation are obtained. Also, the new exact homoclinic, improved homoclinic, and generalized homoclinic solutions for t...

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Bibliographic Details
Published in:Optical and quantum electronics 2024-06, Vol.56 (7), Article 1223
Main Authors: Lan, Lan, Manafian, Jalil, Eslami, Baharak, Hussein, A. H. A., Mahmoud, K. H., Alsubaie, A. S. A., Taki, Anmar Ghanim, Hajar, Afandiyeva
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Computer Communication Networks
Dusty plasmas
Electrical Engineering
Exact solutions
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Solitary waves
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Summary:In this article, a variable-coefficient Kadomtsev–Petviashvili (VCKP) equation is studied by using the Hirota technique. The formulae of the bilinear equation via the bilinear transformation are obtained. Also, the new exact homoclinic, improved homoclinic, and generalized homoclinic solutions for the VCKP equation are investigated. Exclusively, the periodic and kink-periodic wave solutions for the aforementioned equation are received. Moreover, the linear superposition concept to specify the N -soliton solutions of the considered model is employed. In addition, by utilizing symbolic estimation, their dynamic structures and physical virtues were obviously offered by three-dimensional, density, and two-dimensional graphs. These solutions have enormously fortified the exact solutions of the (2 + 1)-dimensional VCKP equation with applications in different fields.
ISSN:1572-817X
0306-8919
1572-817X
DOI:10.1007/s11082-024-07041-y