Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 165, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.geomphys.2021.104191
Keywords
N-soliton solution; Hirota N-soliton condition; Integrable equations in (2+1)-dimensions
Categories
Funding
- NSFC, China [11975145, 11972291]
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In this study, a combined pKP-BKP equation is introduced by considering a linear combination of the potential KP equation and the BKP equation. It is proven that the combined pKP-BKP equation satisfies the Hirota N-soliton condition and possesses an N-soliton solution. The proof involves comparing degrees of homogeneous polynomials associated with the Hirota function in N wave vectors.
We consider a linear combination of the potential KP equation and the BKP equation, and call it a combined pKP-BKP equation. We prove that the combined pKP-BKP equation satisfies the Hirota N-soliton condition and thus it possesses an N-soliton solution. The proof is an application of an algorithm to compare degrees of homogeneous polynomials associated with the Hirota function in N wave vectors. (C) 2021 Elsevier B.V. All rights reserved.
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