Painlev\'{e} integrability, B\"{a}cklund transformations and Wronskian solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics
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Abstract
In this paper, we investigate a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics.Painlevé integrability is confirmed under certain coefficient constraint. Using the truncated Painlevé expansion, two auto-Bäcklund transformations with the kink-soliton solutions are derived. Based on the Wronskian technique, two cases of the N th-order Wronskian solutions are constructed and proved, where N is a positive integer. One-, two-, and three-soliton solutions in the Wronskian are given.
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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00
- unpaywall
- last seen: 2026-05-26T02:00:01.498150+00:00
License: CC-BY-4.0