Evidence map›Paper›PMID 39532901›Full record

ArticleScientific reports2024

Lump, lump-periodic, lump-soliton and multi soliton solutions for the potential Kadomtsev-Petviashvili type coupled system with variable coefficients.

Haiwei Chen, Jalil Manafian, Baharak Eslami, María José Mendoza Salazar, Neha Kumari, Rohit Sharma, Sanjeev Kumar Joshi, K H Mahmoud, A Sa Alsubaie

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Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

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3 · Its place in the literature

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1 citing paper in PubMed.

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5 · Who and what money

Authors and funding

9 authors.

Haiwei ChenShangqiu Institute of Technology, ShangQiu, 476000, China.
Jalil ManafianDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. j_manafianheris@tabrizu.ac.ir.
Baharak EslamiDepartment of Physics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran.
María José Mendoza SalazarFacultad de Ciencias, Grupo de Investigación CIDED, Escuela Superior Politécnica de Chimborazo (ESPOCH), Panamericana Sur km. 1 1/2, Riobamba, 060155, Ecuador.
Neha KumariDepartment of Physics, School of Sciences, Jain (Deemed-to-be) University, Bengaluru, Karnataka, 560069, India.
Rohit SharmaA School of Engineering and Technology, Shobhit University, Gangoh, Uttar Pradesh, 247341, India.
Sanjeev Kumar JoshiDepartment of Mechanical Engineering, Uttaranchal Institute of Technology, Uttaranchal University, Dehradun, 248007, India.
K H MahmoudDepartment of Physics, College of Khurma University College, Taif University, Taif, 21944, Saudi Arabia.
A Sa AlsubaieDepartment of Physics, College of Khurma University College, Taif University, Taif, 21944, Saudi Arabia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this article, the potential Kadomtsev-Petviashvili (pKP) type coupled system with variable coefficients is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, Hirota bilinear form is applied to acquire diverse types of interaction lump solutions from the foresaid equation. Abundant lump, lump-periodic, lump-soliton and multi soliton solutions to the pKP system are presented by the Hirota bilinear form and a mixture of exponentials and trigonometric functions. Lump, lump-periodic, lump-soliton and multi soliton solutions are studied with the usage of symbolic computation. In addition, the symbolic computation and the applied methods for governing model are investigated. The movement role of the waves is investigated, and the theoretical analysis of the acquired solutions is discussed using the bilinear technique of all produced solutions with 2D and 3D plots with respective parameters. The computational difficulties and outcomes highlight the clarity, effectiveness, and simplicity of the approaches, suggesting that these schemes can be applied to a variety of dynamic and static nonlinear equations governing evolutionary phenomena in computational physics as well as to other real-world situations and a wide range of academic fields. We used software Maple 2024 "( http://www.maplesoft.com/ )".

Indexed as

Hirota operatorSoliton interactionsSymbolic computationTrigonometric functions

Identifiers

PMID39532901
PMCPMC11557860

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