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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Author: Chang, J.-H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149211
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the N-Solitons Solutions in the Novikov-Veselov Equation / J.-H. Chang // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 41 назв. — англ.

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...