138 citations · 204 across the 5 of their papers we have counts for
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A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction
Shangshuai Li, Ken-ichi Maruno, Da-jun Zhang
We show a unified approach to the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and the unreduced derivative nonlinear Schrödinger (DNLS) hierarchies (including the Kaup-Newell, Chen…
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…
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…
Complexiton Solutions of the Toda Lattice Equation
Wen-Xiu Ma, Ken-ichi Maruno
A set of coupled conditions consisting of differential-difference equations is presented for Casorati determinants to solve the Toda lattice equation. One class of the resulting co…