138 citations · 204 across the 5 of their papers we have counts for
Showing 2006Show all
2 papers · 1 filter
nlin.SI2006★ 14 cited
Construction of Integrals of Higher-Order Mappings
Ken-ichi Maruno, G. R. W. Quispel
We find that certain higher-order mappings arise as reductions of the integrable discrete A-type KP (AKP) and B-type KP (BKP) equations. We find conservation laws for the AKP and B…
nlin.SI2006★ 24 cited
N-soliton solutions to the DKP equation and Weyl group actions
Y. Kodama, K. Maruno
We study soliton solutions to the DKP equation which is defined by the Hirota bilinear form, \[ {\begin{array}{llll} (-4D_xD_t+D_x^4+3D_y^2) τ_n\cdotτ_n=24τ_{n-1}τ_{n+1}, (2D_t+D_x…