ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
It is shown that the nonlinear partial differential equations governing the interaction of long and short waves are completely integrable. The methodology used is that of Ablowitz et al. [M. J. Ablowitz, A. Ramani, and A. Segur, Lett. Nuovo Cimento 23, 333 (1980); M. J. Ablowitz, A. Ramani, and H. Segur, J. Math. Phys. 21, 715, 1006 (1980)], though in the last section of our paper the problem also has been discussed in the light of the procedure due to Weiss et al. [J. Weiss, M. Tabor, and G. Carnevale, J. Math. Phys. 24, 522 (1983)] and a Backlünd transformation has been obtained.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527174
Permalink