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- W1816196252 abstract "Using the reality condition of the solutions, one constructs the real Pfaffian N-solitons solutions of the Novikov–Veselov (NV) equation using the function and the Schur identity. By the minor-summation formula of the Pfaffian, we can study the interactions of solitons in the NV equation from the Kadomtsev–Petviashvili (KP) equation’s point of view, that is, the totally non-negative Grassmannian. Especially, the Y-type resonance, O-type, and the P-type interactions of X-shape are investigated. Also, the maximum amplitude of the intersection of the line solitons and the critical angle is computed. In addition, one makes a comparison with the KP-(II) equation." @default.
- W1816196252 created "2016-06-24" @default.
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- W1816196252 date "2015-07-13" @default.
- W1816196252 modified "2023-09-25" @default.
- W1816196252 title "The interactions of solitons in the Novikov–Veselov equation" @default.
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- W1816196252 doi "https://doi.org/10.1080/00036811.2015.1064522" @default.
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