Geodesic
A~novel kind of a~multicomponent hierarchy of discrete soliton equations and its application
Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 3, pp. 421-436

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Based on a Lie algebra $\hat g$, we presented a method for constructing multicomponent integrable hierarchies of discrete soliton equations. As an application of the method, we consider the modified Toda spectral problem and obtain a new multicomponent integrable hierarchy of lattice equations with two arbitrary constants, which can be reduced to two multicomponent integrable systems, one of which is the famous Toda lattice system.
Keywords: multicomponent hierarchy of discrete soliton equations, Lie algebra $\hat g$, generalized Toda spectral problem. 
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     title = {A~novel kind of a~multicomponent hierarchy of discrete soliton equations and its application},
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Zhenbo Wang; Haifeng Wang; Yufeng Zhang. A~novel kind of a~multicomponent hierarchy of discrete soliton equations and its application. Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 3, pp. 421-436. http://geodesic.mathdoc.fr/item/TMF_2023_215_3_a5/