论文信息 - Nonlinear superposition formula of the Novikov-Veselov equation - 字舞流文

Nonlinear superposition formula of the Novikov-Veselov equation

A nonlinear superposition formula of the Novikov-Veselov equation is proved under certain conditions. Some particular solutions of the Novikov-Veselov equation are given as an illustrative application of the obtained result.

[1] A. Fordy,et al. Integrable equations in (2+1) dimensions associated with symmetric and homogeneous spaces , 1987 .

[2] Y. Tagami. Soliton-like solutions to a (2+1)-dimensional generalization of the KdV equation , 1989 .

[3] A. Veselov,et al. Two-dimensional Schro¨dinger operator: inverse scattering transform and evolutional equations , 1986 .

[4] Xing-Biao Hu,et al. Nonlinear superposition formulae of the Ito equation and a model equation for shallow water waves , 1991 .

[5] On the permutability of Bäcklund transformations: 1 infinitesimal Bäcklund transformations of the sine-Gordon equation , 1982 .

[6] M. Boiti,et al. On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions , 1986 .