The bound states of n Frenkel excitons (n=2, 3,...), which are called
excitonic n-strings, are theoretically shown to exist in contrast with
a system of Wannier excitons. The electronic structure and nonlinear
optical responses of these excitonic n-strings are clarified. The firs
t evidence for the excitonic 2- and 3-strings is provided from compari
son of the calculated and observed differential transmission spectrum
of an Anthracene-PMDA crystal pumped by femtosecond laser pulses.