M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation

In this paper, we derive the M-lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions. In addition, we derive the Grammian solution for the c...

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Bibliographic Details
Published in:Advances in mathematical physics 2022, Vol.2022, p.1-17
Main Authors: Hai, Rihan, Gegen, Hasi
Format: Article
Language:English
Subjects:
Quantum field theory
Solitary waves
Water waves
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Summary:In this paper, we derive the M-lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions. In addition, we derive the Grammian solution for the cKP3-4 equation and construct the semirational solutions from the Grammian solution. Through the asymptotic analysis, we show that the semirational solutions describe fusion and fission of lumps and line solitons and rogue lump phenomena. Furthermore, we construct the cKP3-4 equation with self-consistent sources via the source generation procedure and present its Grammian and Wronskian solution.
ISSN:1687-9120
1687-9139
DOI:10.1155/2022/8105654