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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).

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
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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).
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