Construction of Lighthill's unitary functions: The imbricate series of unity

Applied Mathematics and Computation

Volumn 86, Issue 1, 1997, Pages 1-10

  Boyd, John P ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008977135     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00145-2     Document Type: Article

References (6)

1. M. J. Lighthill, An Introduction to Fourier Analysis and Generalised Functions, Cambridge University Press, New York, 1958.
2. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1965.
3. J. P. Boyd, New directions in solitons and nonlinear periodic waves: Polycnoidal waves, imbricated solitons, weakly non-local solitary waves and numerical boundary value algorithms. In: Advances in Applied Mechanics (T.-Y. Wu and J. W. Hutchinson, Eds.), no. 27, Academic Press, New York, 1989, pp. 1-82.
4. J. P. Boyd, Nonlinear equatorial waves, in Nonlinear Topics of Ocean Physics: Fermi Summer School, Course LIX (A. R. Osborne, ed.), North-Holland, Amsterdam, 1991, pp. 51-97.
5. J. P. Boyd, Cnoidal waves as exact sums of repeated solitary waves: New series for elliptic functions, SIAM Journal of Applied Mathematics, 44:952-955 (1984).
6. J. P. Boyd, The slow manifold of a five mode model, Journal of the Atmospheric Sciences, 51:1057-1064 (1994).