N-soliton solution of a combined pKP-BKP equation

摘要

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.

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