Bluman, George; Kumei, Sukeyuki On the remarkable nonlinear diffusion equation \((\partial /\partial x)[a(u+b)]_{-2}(\partial u/\partial x)]-(\partial u/partial t)=0\). (English) Zbl 0448.35027 J. Math. Phys. 21, 1019-1023 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 65 Documents MSC: 35G20 Nonlinear higher-order PDEs 35Q99 Partial differential equations of mathematical physics and other areas of application 35A22 Transform methods (e.g., integral transforms) applied to PDEs Keywords:invariance properties; nonlinear diffusion equation; Lie-Bäcklund groups; transformation maps; boundary value problems PDF BibTeX XML Cite \textit{G. Bluman} and \textit{S. Kumei}, J. Math. Phys. 21, 1019--1023 (1980; Zbl 0448.35027) Full Text: DOI OpenURL References: [1] DOI: 10.1103/PhysRevLett.40.1720 [2] DOI: 10.1063/1.326046 [3] DOI: 10.1177/004051755202201106 [4] DOI: 10.1039/TF9625801054 [5] DOI: 10.1103/PhysRevLett.28.988 [6] DOI: 10.1103/PhysRevLett.28.988 [7] DOI: 10.1002/andp.19754870306 [8] DOI: 10.1016/0022-247X(77)90098-1 · Zbl 0355.35004 [9] Noether E., Nachr. Akad. Wiss. Goettingen Math. Phys. K1. 2 pp 234– (1918) [10] DOI: 10.1002/andp.19754870605 [11] DOI: 10.1063/1.523267 · Zbl 0339.35027 [12] DOI: 10.1063/1.522487 [13] DOI: 10.1063/1.523393 · Zbl 0348.35024 [14] Ovsjannikov L. V., Dokl. Akad. Nauk SSSR 125 pp 492– (1959) [15] Lie S., Arch. Math. 6 pp 328– (1881) [16] DOI: 10.1103/PhysRevB.19.2398 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.