A new (29-1)-dimensional lattice equation is presented based upon the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice (TL-RTL) equations in (19991) dimensions. A Dar...A new (29-1)-dimensional lattice equation is presented based upon the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice (TL-RTL) equations in (19991) dimensions. A Darboux transformation for the hierarchy of the combined TL-RTL equations is constructed. Solutions of the first two members in the hierarchy of the combined TL-RTL equations, as well as the new (29-1)-dimensional lattice equation are explicitly obtained by the Darboux transformation.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No. 10471120, the NCET-04-0518, FANEDD (No. 200013), the Excellent Young Teachers Program of the Ministry of Education, the Project-Sponsored by SRF for R0CS, and the "333 Project" of Jiangsu Province
文摘A new (29-1)-dimensional lattice equation is presented based upon the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice (TL-RTL) equations in (19991) dimensions. A Darboux transformation for the hierarchy of the combined TL-RTL equations is constructed. Solutions of the first two members in the hierarchy of the combined TL-RTL equations, as well as the new (29-1)-dimensional lattice equation are explicitly obtained by the Darboux transformation.