TY - JOUR
T1 - Direct linearizing transform for three-dimensional discrete integrable systems
T2 - The lattice AKP, BKP and CKP equations
AU - Fu, Wei
AU - Nijhof, Frank W.
N1 - Publisher Copyright:
© 2017 The Author(s) Published by the Royal Society.
PY - 2017/7/1
Y1 - 2017/7/1
N2 - A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearizing transform, which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained.
AB - A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearizing transform, which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained.
KW - Direct linearizing transform
KW - Discrete AKP equation
KW - Discrete BKP equation
KW - Discrete CKP equation
KW - Discrete integrable system
KW - Soliton
UR - https://www.scopus.com/pages/publications/85026661888
U2 - 10.1098/rspa.2016.0915
DO - 10.1098/rspa.2016.0915
M3 - 文章
AN - SCOPUS:85026661888
SN - 1364-5021
VL - 473
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2203
M1 - 0915
ER -