zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Explicit solutions of Fisher’s equation for a special wave speed. (English) Zbl 0423.35079

MSC:
35Q99PDE of mathematical physics and other areas
92D10Genetics
35A05General existence and uniqueness theorems (PDE) (MSC2000)
WorldCat.org
Full Text: DOI
References:
[1] Ablowitz, M. J., A. Ramani, and H. Segur. 1978. Lettre at Nuovo Cimento, accepted for publication.
[2] Abramowitz, M. and I. Stegun. 1965.Handbook of Mathematical Functions. New York: Dover. · Zbl 0171.38503
[3] Canosa, J. 1969. ”Diffusion in Nonlinear Multiplicative Media.”J. Math. Phys.,10, 1862. · doi:10.1063/1.1664771
[4] Fife, P. C. 1978. ”Asymptotic States for Equations of Reaction and Diffusion.”.Bull Am. Math. Soc.,84, 693--726. · Zbl 0405.35044 · doi:10.1090/S0002-9904-1978-14502-9
[5] Fisher, R. A. 1936. ”The Wave of Advance of an Advantageous Gene.”Ann. Eugen. 7, 355--369. · doi:10.1111/j.1469-1809.1937.tb02153.x
[6] Hoppensteadt, F. C. 1975.Mathematical Theories of Populations: Demographics, Genetics and Epidemics. CMBS Vol. 20, Philadelphia: SIAM Publication. · Zbl 0304.92012
[7] Ince, E. I. 1956.Ordinary Differential Equations. New York: Dover. · Zbl 0063.02971
[8] Kolmogorov, A., I. Petrovskii and N. Piskunov 1937. ”Étude de l’Équation de la Diffusion avec Croissance de la Quantité de la Matière et Son Application à un Problème Biologique.”Moscow Univ. Bull. Math.,1, 1--25.
[9] Lefschetz, S. 1963:Differential Equations: Geometric Theory, 2nd ed., pp. 95--111. New York: Interscience. · Zbl 0107.07101
[10] McKean, H. P.. 1975. ”Application of Brownian Motion to the Equation of Kolmogorov-Petrovskii-Piskunov.”Communs Pure appl. Math. 28, 323--331. · Zbl 0316.35053 · doi:10.1002/cpa.3160280302
[11] Zeppetella, A. and M. J. Ablowitz. 1978. ”On Solutions of Some Nonlinear Ordinary Differential Equations with Applications to Fisher’s Equations.” To be submitted toSIAM J. Appl. Math.