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The combined effect of diffraction, anomalous dispersion and nonlinear refraction under both symmetric and unsymmetric initial conditions is studied by using a variational approach and numerical simulation. It is shown that the compression parameter Bo which strongly depends on the initial condition and the nonlinear interplay strength, plays an important role. When Bo > 0, the beam width and pulse width blow up vibrantly as z yields (infinity) . When Bo < 0, the pulse collapses oscillatorily and simultaneously both in space and time.
Guosheng Zhou,Lili Zhu,Zuning Luo,Yong Wang,Suotang Jia,Xiangyang Song, andJianqing Li
"Interplay among diffraction, dispersion, and nonlinearity in two spatial dimensions", Proc. SPIE 1979, 1992 International Conference on Lasers and Optoelectronics, (11 May 1993); https://doi.org/10.1117/12.144097
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Guosheng Zhou, Lili Zhu, Zuning Luo, Yong Wang, Suotang Jia, Xiangyang Song, Jianqing Li, "Interplay among diffraction, dispersion, and nonlinearity in two spatial dimensions," Proc. SPIE 1979, 1992 International Conference on Lasers and Optoelectronics, (11 May 1993); https://doi.org/10.1117/12.144097