Traveling-wave method for solving the modified nonlinear Schroedinger equation describing soliton propagation along optical fibers

Journal Article · Wed Feb 01 00:00:00 EST 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.1493· OSTI ID:6606040

Bingzhen, X; Wenzheng, W ^[1]

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1. Institute of Optical Communication, Liaocheng Teachers' College, Shandong, 252059 (China) China Center of Advanced Science Technology (World Laboratory), P.O. Box 8730, Beijing 100080 (China)

We give a traveling-wave method for obtaining exact solutions of the modified nonlinear Schroedinger equation [ital iu][sub [ital t]]+[var epsilon][ital u][sub [ital x][ital x]]+2[ital p][vert bar][ital u][vert bar][sup 2][ital u] +2[ital iq]([vert bar][ital u][vert bar][sup 2][ital u])[sub [ital x]]=0, describing the propagation of light pulses in optical fibers, where [ital u] represents a normalized complex amplitude of a pulse envelope, [ital t] is the normalized distance along a fiber, and [ital x] is the normalized time within the frame of reference moving along the fiber at the group velocity. With the help of the potential function'' we obtained by this method, we find a family of solutions that are finite everywhere, particularly including periodic solutions expressed in terms of Jacobi elliptic functions, stationary periodic solutions, and algebraic'' soliton solutions. Compared with previous work [D. Mihalache and N. C. Panoiu, J. Math. Phys. 33, 2323 (1992)] in which two kinds of the simplest solution were given, the physical meaning of the integration constants in the potential function we give is clearer and more easily fixed with the initial parameters of the light pulse.

• OSTI ID: 6606040
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Vol. 51:2; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
OPTICAL FIBERS
SCHROEDINGER EQUATION
SOLITONS
ANALYTICAL SOLUTION
NONLINEAR OPTICS
TRAVELLING WAVES
WAVE PROPAGATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FIBERS
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
WAVE EQUATIONS
661300* - Other Aspects of Physical Science- (1992-)