Solving the (2+1)-Dimensional Derivative Toda Equation

Xiao-Ying Zhu () and Feng-He Wang
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Xiao-Ying Zhu: College of Science, Shandong Jianzhu University, Jinan 250101, China
Feng-He Wang: College of Science, Shandong Jianzhu University, Jinan 250101, China

Mathematics, 2023, vol. 11, issue 13, 1-7

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.

Keywords: (2+1)-dimensional derivative Toda equation; Hirota’s solution; modified Toda lattice equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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