THE MODULATION OF SHORT WAVES RIDING ON SOLITARY WAVES

The modulation of linear short waves riding on a long finite-amplitude solitary wave has been analyzed numerically. It is found that the max imum modulated wave number, frequency, and amplitude of short waves al ways occur at the crest of solitary waves. This paper shows that the m odulated wave number on the crest of solitary waves increases signific antly as the amplitude of the solitary waves increases, and that the m odulated short wave frequency and amplitude on the crest increase almo st linearly.