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arXiv · 2010.06582

Exact solutions to the nonlinear Schr\"odinger equation with time-dependent coefficients

Xin-Lei Mai·Wei Li
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Abstract

In this paper, the trial function method is employed to find the exact solutions for high-order nonlinear Schr\"odinger equations with time-dependent coefficients. This system describes the propagation of ultrashort light pulses in nonlinear fibers, with self-steepening and self-frequency shift effects. As a result, we derive a range of exact solutions which include Jacobi elliptic function solutions, solitary wave solutions, and rational function solutions.

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Xin-Lei Mai, Wei Li. 2020-10-13. Exact solutions to the nonlinear Schr\"odinger equation with time-dependent coefficients. https://arxiv.org/abs/2010.06582

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