A stable finite-difference scheme for the Boussinesq equation

Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics

Volumn 20, Issue 1, 1998, Pages 1-17

  Scalerandi, M ^a   Glordano, M ^b   Delsanto, P P ^b   Condat, C A ^b  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY OF PUERTO RICO   (Puerto Rico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039818340     PISSN: 03926737     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03036033     Document Type: Article

References (22)

1. BOUSSINESQ M. J., C. R. Acad., 72 (1871) 755.
2. RUSSELL S., Report on Waves, in Brit. Assoc. Adv. Sci. Rep., 14th Mtg. York, 1844 (John Murray, London) 1844, p. 311.
3. KORTEWEG D. J. and DE VRIES G., Philos. Mag., 39 (1895) 422.
4. ABLOWITZ M. J. and SEGUR H., Solitons and the Inverse Scattering Transform (SIAM Studies in Applied Mathematics, Philadelphia) 1981.
5. DRAZIN P. G. and JOHNSON R. S., Solitons: an Introduction (Cambridge University Press, Cambridge) 1989.
6. McKEAN H. P., Commun. Pure Appl Math., 34 (1981) 599.
7. ZACHAROV V. E., Z. Ėksp. Tear. Fiz., 65 (1973) 219.
8. MANORANJAN V. S., MITCHELL A. R. and MORRIS J. LL., SIAM J. Sci. Stat. Commun., 5 (1984) 946.
9. ISKANDAR L. and EL-üEEN MOHAMEDEIN M. SH., Computers Math. Appl, 18 (1989) 467.
10. NEWELL A. C., Solitons in Mathematics and Physics (SIAM, Philadelphia) 1985.
11. ZABUSKY N. J. and KRUSKAL M. D., Plujs. Rev. Lett, 15 (1965) 240.
12. REMOISSENET M., Wares Called Solitons (Springer-Verlag, Berlin) 1994, p. 45.
13. Ko K. and KUEHL H. H., Plujs. Rev. Lett., 40 (1978) 233.
14. KNICKERBOCKER C. J. and NEWELL A. C., J. Fluid Mech., 98 (1980) 803.
15. SYNOLAKIS C. E., J. Fluid Mech., 185 (1987) 523.
16. LONNGREN K. E., ANDERSEN D. R. and COONEY J. L., Phys. Lett A, 156 (1991) 441.
17. DELSANTO P. P., GIORDANO M., SCALERANDI M. and CONDAT C. A., work in preparation.
18. VLIEGENTHART A. C., J. Engin. Math., 5 (1971) 137.
19. MAKHANKOV V. G., Phys. Rep., 35 (1978) 1.
20. KAKO F. and YAJIMA N., J. Phys. Soc. Jpn., 51 (1982) 311.
21. HIROTA R., J. Math. Phys., 14 (1973) 810.
22. STRICKWERDA J., Finite Difference Schemes and Partial Differential Equations (Wadsworth - Brooks) 1989, p. 158.