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New Painlevé Integrable (3+1)-Dimensional Combined pKP–BKP Equation: Lump and Multiple Soliton Solutions |
| Abdul-Majid Wazwaz* |
| Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA |
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| Cite this article: |
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Abdul-Majid Wazwaz 2023 Chin. Phys. Lett. 40 120501 |
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Abstract We introduce a new form of the Painlevé integrable (3+1)-dimensional combined potential Kadomtsev–Petviashvili equation incorporating the B-type Kadomtsev–Petviashvili equation (pKP–BKP equation). We perform the Painlevé analysis to emphasize the complete integrability of this new (3+1)-dimensional combined integrable equation. We formally derive multiple soliton solutions via employing the simplified Hirota bilinear method. Moreover, a variety of lump solutions are determined. We also develop two new (3+1)-dimensional pKP–BKP equations via deleting some terms from the original form of the combined pKP–BKP equation. We emphasize the Painlevé integrability of the newly developed equations, where multiple soliton solutions and lump solutions are derived as well. The derived solutions for all examined models are all depicted through Maple software.
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Received: 26 September 2023
Published: 06 December 2023
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| PACS: |
05.45.Yv
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(Solitons)
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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42.81.Qb
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(Fiber waveguides, couplers, and arrays)
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