General solutions to the 2D Liouville equation

International Journal of Engineering Science

Volumn 35, Issue 2, 1997, Pages 141-149

  Crowdy, Darren G ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346422653     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7225(96)00080-8     Document Type: Article

References (23)

1. Liouville, J., J. Math., 1853, 18(1), 71.
2. Bhutani, O. P., Moussa, M. H. M. and Vijayakumar, K., Int. J. Engng. Sci., 1994, 32, 1965.
3. Bhutani, O. P. and Vijayakumar, K., Int. J. Engng. Sci., 1992, 30, 1049.
4. Bhutani, O. P. and Vijayakumar, K., J. Austr. Math. Soc. Ser. B, 1991, 32, 457.
5. Ibragimov, N. H., Transformation Groups Applied to Mathematical Physics. Reidel, Boston, 1984.
6. Tamizhmani, K. M. and Lakshmanan, M., J. Math. Phys., 1986, 27, 2257.
7. Poincaré, H., J. Math., 1898, 4(5), 137.
8. Picard, E., J. Math., 1893, 9(4), 273.
9. Picard, E., J. Math., 1893, 4(5), 313.
10. Picard, E., J. Math., 1898, 130, 243.
11. Lichtenstein, L., Comptes Rendus, 1913, 157, 1508.
12. Lichtenstein, L., Acta Math., 1915, 140, 1.
13. Bieberbach, L., Math. Ann., 1916, 77, 173.
14. Walker, G., Proc. Roy. Soc., 1916, A 91, 410.
15. Stuart, J. T., J. Fluid. Mech., 1967, 29, 417.
16. Popov, A. G., Dokl-Akad-N., 1993, 333, 440.
17. Clarkson, P. A. and Kruskal, M. D., J. Math. Phys., 1989, 30, 2201.
18. Bateman, H., Partial Differential Equations of Mathematical Physics. Cambridge University Press, 1952, p. 166.
19. Keller, J. B., Comm. Pure. and Appl. Math., 1957, X, 503.
20. Wittich, H., Math. Z., 1944, 49, 579.
21. Joseph, D. D. and Lundgren, T. S., Arch. Rat. Mech. Anal., 1973, 49, 241.
22. Drazin, P. G. and Johnson, R. S., Solitons: an Introduction. Cambridge University Press, Cambridge, 1988.
23. Calogero, F. and Degasperis, A., Spectral Transforms and Solitons. North Holland, Amsterdam, 1982.