138 citations · 204 across the 5 of their papers we have counts for
5 papers
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…
Bilinearization of Discrete Soliton Equations and Singularity Confinement
K. Maruno, K. Kajiwara, S. Nakao +1
Bilinear forms for some nonlinear partial difference equations(discrete soliton equations) are derived based on the results of singularity confinement. Using the bilinear forms, th…