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This article is cited in 4 scientific papers (total in 4 papers)
On the $N$-Solitons Solutions in the Novikov–Veselov Equation
Jen-Hsu Chang Department of Computer Science and Information Engineering,
National Defense University, Tauyuan, Taiwan
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 $\overline\partial$-dressing method.
Keywords:
Novikov–Veselov equation; $N$-solitons solutions; Pfaffian expansion; wave functions.
Received: October 1, 2012; in final form January 12, 2013; Published online January 20, 2013
Citation:
Jen-Hsu Chang, “On the $N$-Solitons Solutions in the Novikov–Veselov Equation”, SIGMA, 9 (2013), 006, 13 pp.
Linking options:
https://www.mathnet.ru/eng/sigma789 https://www.mathnet.ru/eng/sigma/v9/p6
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Abstract page: | 258 | Full-text PDF : | 42 | References: | 67 |
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