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arXiv · 1206.3751

On the N-Solitons Solutions in the Novikov-Veselov Equation

Jen-Hsu Chang
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Abstract

We construct the $N$-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the property characterizing the $N$-solitons wave function is proved using the Pfaffian expansion. This property corresponding to the discrete scattering data for $N$-solitons solution is obtained in [arXiv:0912.2155] from the $\bar\partial$-dressing method.

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Jen-Hsu Chang. 2013-01-20. On the N-Solitons Solutions in the Novikov-Veselov Equation. https://doi.org/10.3842/sigma.2013.006

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