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Exact solutions of two nonlinear equations and hypercircle estimates

Published online by Cambridge University Press:  17 February 2009

V. G. Hart
V. G. Hart
Affiliation:
Department of Mathematics, University of Queensland, St. LuciaQueensland 4067
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Abstract

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In a recent paper estimates of the solutions of two nonlinear differential equations were made by use of the hypercircie method. Here exact solutions are given which are compared with those estimates.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 1 , July 1980 , pp. 98 - 103
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Arthurs, A. M. and Hart, V. G., “The method of the hypercircle for a class of nonlinear equations”, J. Austral. Math. Soc. B 21 (1979), 75–83.CrossRefGoogle Scholar
[2]Liouville, J., “Sur l'équation aux difrerences partielles [∂2/(∂u ∂v)] (log λ) ± λ/2a 2 = 0] J. de Math. 18 (1853), 71–72.Google Scholar
[3]Milne-Thomson, L. M., Jacobian elliptic function tables (Dover, 1950).Google Scholar
[4]Weston, V. H., “On the asymptotic solution of a partial differential equation with an exponential nonlinearity”, SIAM J. Math. Anal. 9 (1978), 1030–1053.CrossRefGoogle Scholar