Zhu, Zuonong; Wu, Xiaonan; Xue, Weimin; Ding, Qing Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies. (English) Zbl 1068.70021 Phys. Lett., A 297, No. 5-6, 387-395 (2002). Summary: In this Letter, by means of the matrix Lax representations for two Blaszak-Marciniak three-field lattice hierarchies, we demonstrate the existence of infinitely many conservation laws for the two lattice hierarchies and give the corresponding conserved density and the associated flux analytically. Cited in 6 Documents MSC: 70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics Keywords:matrix Lax representation; conserved density PDF BibTeX XML Cite \textit{Z. Zhu} et al., Phys. Lett., A 297, No. 5--6, 387--395 (2002; Zbl 1068.70021) Full Text: DOI References: [1] Blaszak, M.; Marciniak, K., J. math. phys., 35, 4661, (1994) [2] Hu, X.B.; Zhu, Z.N., J. math. phys., 39, 4766, (1998) [3] Ma, W.X.; Fuchssteiner, B. [4] Wu, Y.; Geng, X., J. math. phys., 37, 2338, (1996) [5] Wu, Y.; Geng, X., J. phys. soc. jpn., 68, 784, (1999) [6] Sahadevan, R.; Khousalya, S., J. math. phys., 42, 3854, (2001) [7] Göktas, Ü.; Hereman, W.; Erdmann, G., Phys. lett. A, 236, 30, (1997) [8] Hereman, W.; Göktas, Ü.; Colagrosso, M.D.; Miller, A.J. [9] Tsuchida, T.; Ujino, H.; Wadati, M., J. math. phys., 39, 4785, (1998) [10] Tsuchida, T.; Ujino, H.; Wadati, M., J. phys. A, 32, 2239, (1999) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.