Abstract

The goal of this study is to offer an exclusive functional conversion to produce (n+1)\((n+1)\)-dimensional dual-mode nonlinear equations. This transformation has been implemented and new (3+1)\((3+1)\)-dimensional dual-mode Gradner-type and KdV-type have been established. Finally, the simplified bilinear method is used to tell the necessary conditions on these new models to have multiple singular-solitons.

Details

Title
Construction of ( n + 1 ) \((n+1)\) -dimensional dual-mode nonlinear equations: multiple shock wave solutions for ( 3 + 1 ) \((3+1)\) -dimensional dual-mode Gardner-type and KdV-type
Author
Jaradat, Ali 1 ; Jaradat, M M M 2 ; Mohd Salmi Md Noorani 1 ; Jaradat, H M 3 ; Alquran, Marwan 4 

1  School of Mathematical Sciences, University Kebangsaan Malaysia, Bangi, Malaysia 
2  Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar 
3  Department of Mathematics, Al al-Bayt University, Mafraq, Jordan 
4  Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan 
Pages
1-12
Publication year
2019
Publication date
Jan 2019
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-019-1960-4
ProQuest document ID
2169745670
Copyright
Advances in Difference Equations is a copyright of Springer, (2019). All Rights Reserved., © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.