%0 Journal Article
%T On the N-Solitons Solutions in the Novikov-Veselov Equation
%A Jen-Hsu Chang
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2013
%I National Academy of Science of Ukraine
%X 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  бе-dressing method.
%K Novikov-Veselov equation
%K N-solitons solutions
%K Pfaffian expansion
%K wave functions
%U http://dx.doi.org/10.3842/SIGMA.2013.006