Open AccessToda lattice hierarchy and soliton equations on square lattice
Author(s) -
Saburo Kakei
Publication year - 2021
Publication title -
journal of physics. a, mathematical and theoretical
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.787
H-Index - 163
eISSN - 1751-8121
pISSN - 1751-8113
DOI - 10.1088/1751-8121/ab88e2
Subject(s) - toda lattice , hierarchy , soliton , korteweg–de vries equation , lattice (music) , mathematics , square lattice , mathematical physics , kdv hierarchy , pure mathematics , statistical physics , physics , nonlinear system , quantum mechanics , integrable system , economics , acoustics , ising model , market economy
Lattice soliton equations of KdV-family and Boussinesq-family are investigated from the viewpoint of the Toda lattice hierarchy. As a consequence, special solutions such as soliton solutions and algebro-geometric solutions are constructed in a unified manner.