Kaptsov, O. V. Classification of evolution equations by conservation laws. (English. Russian original) Zbl 0511.35058 Funct. Anal. Appl. 16, 59-61 (1982); translation from Funkts. Anal. Prilozh. 16, No. 1, 72-73 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 35L65 Hyperbolic conservation laws 35Q99 Partial differential equations of mathematical physics and other areas of application 58J72 Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds Keywords:classification of evolution equations; Lie-Bäcklund group; conservation laws of high order PDFBibTeX XMLCite \textit{O. V. Kaptsov}, Funct. Anal. Appl. 16, 59--61 (1982; Zbl 0511.35058); translation from Funkts. Anal. Prilozh. 16, No. 1, 72--73 (1982) Full Text: DOI References: [1] T. Tsujishita, ”On variation bicomplexes associated to differential equations,” Preprint, Princeton (1979). · Zbl 0524.58041 [2] N. Kh. Ibragimov, ”On the theory of groups of Lie?B?cklund transformations,” Mat. Sb.,109, No. 2, 229-253 (1979). · Zbl 0411.58024 [3] I. M. Gel’fand and L. A. Dikii, ”Asymptotic properties of the resolvent of Sturm?Liouville equations and the algebra of Korteweg?de Vries equations,” Usp. Mat. Nauk,30, No. 5, 67-100 (1975). [4] N. Kh. Ibragimov and A. B. Shabat, ”Infinite Lie?B?cklund algebras,” Funkts. Anal. Prilozhen.,14, No. 4, 79-81 (1980). · Zbl 0447.52011 [5] O. V. Kaptsov, in: Dynamics of Continuous Medium [in Russian], No. 46, Novosibirsk (1980). · Zbl 0488.35058 [6] L. Abellanas and A. Galindo, ”Conserved densities for nonlinear evolution equations,” J. Math. Phys.,20, No. 6, 1239-1243 (1979). · Zbl 0424.35059 [7] F. Calogero and A. Degasperis, Ist. Fis. Univ. Roma, 1-37 (1979). 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.