A note on solitary wave solutions of the Leibovich-Roberts equation-Reference-Cited by-同舟云学术

A note on solitary wave solutions of the Leibovich-Roberts equation

Published:1988 Issue:2 Volume:46 Page:365-374
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Bogdan T. J.,Lerche I.

Abstract

The propagation of weakly nonlinear, weakly dispersive sound waves in a magnetic cylinder satisfies an equation originally discussed in a limiting form by Leibovich (1970) and in general form by Roberts (1985). We show here that the resulting Leibovich-Roberts equation possesses nonlinear solitary wave behaviors akin to Benjamin-Ono waves in a slab. We also show how the structure of the solitary waves can be determined using a variational principle.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1988-46-02/S0033-569X-1988-0950608-6/S0033-569X-1988-0950608-6.pdf

Reference5 articles.

1. M. Becker, The Principles and Applications of Variational Methods, M.I.T., Cambridge, 1964

2. Weakly non-linear waves in rotating fluids;Leibovich, S.;J. Fluid Mech.,1970

3. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill Book Co., New York, 1963

4. B. Roberts, Solitary waves in a magnetic fluxtube, Phys. Fluids 28, 3280–3286 (1985)

5. Pure and Applied Mathematics, Vol. V;Tricomi, F. G.,1957

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