Am. Kamchatnov et H. Steudel, NONLINEAR PERIODIC-WAVES AND WHITHAM MODULATION THEORY FOR DEGENERATE2-PHOTON PROPAGATION, Physics letters. A, 226(6), 1997, pp. 355-364
The one-phase periodic solution of the degenerate two-photon propagati
on (DTPP) equations is obtained in an effective form. Its modulation i
s investigated by means of the Whitham method. The theory developed is
applied to the problem of evolution of the sharp front between two re
gions of different pulse intensity.