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arXiv · 1310.4027

The Interactions of Solitons in the Novikov-Veselov Equation

Jen-Hsu Chang
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Abstract

Using the reality condition of the solutions, one constructs the real Pfaffian N-solitons solutions of the Novikov-Veselov (NV) equation using the $\tan$ function and the Schur identity. By the minor-summation formula of the Pfaffian, we can study the interactions of solitons in the Novikov-Veselov equation from the Kadomtsev-Petviashvili (KP) equation's point of view, that is, the totally non-negative Grassmannian. Especially, the Y-shape 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 are computed and one makes a comparison with the KP-(II) equation.

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Jen-Hsu Chang. 2014-08-07. The Interactions of Solitons in the Novikov-Veselov Equation. https://arxiv.org/abs/1310.4027

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