| Issue |
EPL
Volume 140, Number 5, December 2022
|
|
|---|---|---|
| Article Number | 52002 | |
| Number of page(s) | 5 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/aca49f | |
| Published online | 06 December 2022 | |
Painlevé analysis for a new (3 +1 )-dimensional KP equation: Multiple-soliton and lump solutions
1 Department of Mathematics, Saint Xavier University - Chicago, IL 60655, USA
2 Department of Physics, Faculty of Science, Port Said University - Port Said 42521, Egypt
3 Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University P.O. Box 84428, Riyadh 11671, Saudi Arabia
4 Research Center for Physics (RCP), Department of Physics, Faculty of Science and Arts, Al-Mikhwah, Al-Baha University - Al-Baha, Saudi Arabia
(a) E-mail: wazwaz@sxu.edu
(c) E-mail: samireltantawy@yahoo.com; tantawy@sci.psu.edu.eg (corresponding author)
Received: 20 July 2022
Accepted: 21 November 2022
The current work proposes a new (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation ((3 + 1)-KPE). We verify the integrability of this equation using the Painlevé analysis (PA). The bilinear formula is applied to the extended KPE to explore multiple-soliton solutions. Also, we formally establish a class of lump solutions using distinct values of the parameters.
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