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Wave propagation in weakly nonlinear dispersive systems

Published online by Cambridge University Press:  17 April 2009

Gordon V. Miles
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Abstract

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Type
Abstracts of Australasian Ph.D. theses
Information
Bulletin of the Australian Mathematical Society , Volume 2 , Issue 3 , June 1970 , pp. 429 - 431
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Benjamin, T. Brooke and Feir, J.E., “The disintegration of wave trains on deep water”, J. Fluid Mech. 27 (1967), 417–430.Google Scholar
[2]Benney, D.J. and Newell, A.C., “The propagation of nonlinear wave envelopes”, J. Math. and Phys. 46 (1967), 133–139.Google Scholar
[3]Bretherton, F.P., “Resonant interactions between waves. The case of discrete oscillations”, J. Fluid Mech. 20 (1964), 457–479.Google Scholar
[4]Lighthill, M.J., “Contributions to the theory of waves in nonlinear dispersive systems”, J. Inst. Math. Appl. 1 (1965), 269–306.Google Scholar
[5]Lighthill, M.J., “Some special cases treated by the Whitham theory”, Proc. Roy. Soc. Ser. A 299 (1967), 28–53.Google Scholar
[6]Luke, J.C., “A perturbation method for nonlinear dispersive wave problems”, Proc. Roy. Soc. Ser. A 292 (1966), 403–412.Google Scholar
[7]Phillips, O.M., “Theoretical and experimental studies of gravity wave interactions”, Proc. Roy. Soc. Ser. A 299 (1967), 104–119.Google Scholar
[8]Whitham, G.B., “Non-linear dispersive waves”, Proc. Roy. Soc. Ser. A 283 (1965), 238–261.Google Scholar
[9]Whitham, G.B., “A general approach to linear and non-linear dispersive waves using a Lagrangian”, J. Fluid Mech. 22 (1965). 273–283.Google Scholar
[10]Whitham, G.B., “Non-linear dispersion of water waves”, J. Fluid Mech. 27 (1967), 399–412.Google Scholar
[11]Whitham, G.B., “Variational methods and applications to water waves”, Proc. Roy. Soc. Ser. A 299 (1967), 6–25.Google Scholar