Linear and nonlinear refraction and Bragg scattering of water waves

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 2, 1999, Pages

  Agnon, Y ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; GALERKIN METHODS; LAPLACE TRANSFORMS; LIGHT SCATTERING; LINEAR EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; REFRACTION; VARIATIONAL TECHNIQUES;

AUGMENTED MILD SLOPE EQUATION; BRAGG RESONANCE; BRAGG SCATTERING; HAMILTONIAN FORMULATION; MILD SLOPE EQUATION; TAYLOR EXPANSION;

WATER WAVES;

EID: 0033072692     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.R1319     Document Type: Article

References (13)

1. J. C. W. Berkhoff, in Proceedings of the 13th International Conference on Coastal Engineering (ASCE, 1972), p. 471.
2. P. G. Chamberlain and D. Porter, J. Fluid Mech. 291, 333 (1995).
3. M. W. Dingemans, Water Wave Propagation Over Uneven Bottoms, Part 1 (World Scientific, Singapore, 1997).
4. J. W. Miles and P. G. Chamberlain, J. Fluid Mech. 361, 175 (1998).
5. C. C. Mei, J. Fluid Mech. 152, 315 (1985).
6. J. T. Kirby, J. Fluid Mech. 162, 171 (1986).
7. Y. Liu and D. K. P. Yue, J. Fluid Mech. 356, 297 (1998).
8. Y. Agnon, E. N. Pelinovsky, and A. Sheremet, Stud. Appl. Math. 102, 49 (1998).
9. Y. Agnon, A. Sheremet, J. Gonsalves, and M. Stiassnie, Coastal Eng. 20, 29 (1993).
10. Y. Agnon and A. Sheremet, J. Fluid Mech. 345, 79 (1997).
11. Lord Rayleigh, Philos. Mag. 5(1), 257 (1876).
12. R. Courant and D. Hilbert, Methods of Mathematical Physics, Part II (Wiley-Interscience, New York, 1953).
13. L. Berg, Introduction to the Operational Calculus (North-Holland, Amsterdam, 1967).