Phys. Rev. E 57, 4751–4756 (1998)Analytical solution for the modified nonlinear Schrödinger equation describing optical shock formationReceived 17 March 1997; published in the issue dated April 1998 We present an exact analytical solution by the use of an ansatz method for the modified nonlinear Schrödinger equation iUζ+1/2σUττ+N2|U|2U+isN2(|U|2U)τ=0, describing the propagation of light pulses in optical fibers. The inclusion of the term isN2(|U|2U)τ in the usual nonlinear Schrödinger equation arises from an intensity-dependent group velocity and produces a temporal pulse distortion leading to the development of an optical shock. Previous work [Xu Bingzhen and Wang Wenzheng, Phys. Rev. E 51, 1493 (1995)] using the traveling-wave method does not exhibit this important physical picture. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.57.4751
DOI:
10.1103/PhysRevE.57.4751
PACS:
42.81.Dp, 42.50.Vk, 42.65.Tg, 03.65.Ge
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