M. Tajiri et Y. Watanabe, PERIODIC-WAVE SOLUTIONS AS IMBRICATE SERIES OF RATIONAL GROWING MODES- SOLUTIONS TO THE BOUSSINESQ EQUATION, Journal of the Physical Society of Japan, 66(7), 1997, pp. 1943-1949
Nonlinear intermitted wave solutions that are recurrent in time are pr
esented to the Boussinesq equation by using the superposition of ratio
nal growing modes where the effect of the nonlinearity is taken into a
ccount. It is also shown that the breather solution can be constructed
by imbricate series of rational growing modes.