The subsidiary elliptic-like equation and the exact solutions of the higher-order nonlinear Schrödinger equation

Jin-Liang Zhang, Ming-Liang Wang and Xiu-Rong Li

Chaos, Solitons & Fractals, 2007, vol. 33, issue 5, 1450-1457

Abstract: By using the homogeneous balance principle, the exact solutions of the subsidiary elliptic-like equation are derived with the aid of the coupled projective Riccati equations. The higher-order nonlinear Schrödinger equation describing the propagation of ultrashort pulses in nonlinear optical fibers is researched and its various exact solutions are derived by means of the simple transformation and the subsidiary elliptic-like equation mentioned above.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:5:p:1450-1457

DOI: 10.1016/j.chaos.2006.02.002

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