THERMAL SCIENCE

International Scientific Journal

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Sheng Zhang

,

Di Wang

A TODA LATTICE HIERARCHY WITH VARIABLE COEFFICIENTS AND ITS MULTI-WAVE SOLUTIONS

ABSTRACT
Starting from the Toda spectral problem, a new Toda lattice hierarchy of isospectral equations with variable coefficients is constructed through the discrete zero curvature equation. In order to solve one special case of the derived Toda lattice hierarchy, a series of appropriate transformations are utilized. As a result, a new uniform formula of N-wave solutions is obtained.
KEYWORDS
Toda lattice hierarchy, isospectral equation, zero curvature equation, multi-wave solution
PAPER SUBMITTED: 2013-09-29
PAPER REVISED: 2014-05-07
PAPER ACCEPTED: 2014-07-23
PUBLISHED ONLINE: 2015-01-04
DOI REFERENCE: https://doi.org/10.2298/TSCI1405563Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 5, PAGES [1563 - 1566]
REFERENCES
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A Toda lattice hierarchy with variable coefficients and its multi-wave solutions

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