Affiliation:
1. College of Science, Shandong Jianzhu University, Jinan 250101, China
Abstract
The main objectives of this work are to deduce the Lax pair for the Modified Toda lattice hierarchy and to find whether there exists a transformation between (2+1)-dimensional derivative Toda lattice equation and Modified Toda equation. By a new spectral problem, we obtain the Modified Toda lattice hierarchy, furthermore we give the Hirota’s form solution for the Modified Toda lattice equation, thus the Hirota’s solution for the (2+1)-dimensional derivative Toda equation can also be attained correspondingly.
Funder
Shandong Provincial Natural Science Foundation
Innovation Team of Jinan City
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)