具有哈密顿扰动和克尔定律非线性的复杂金兹堡-朗道方程的啁啾光学孤子

Ming-Yue Tang, Tong-Yu Meng
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引用次数: 0

摘要

本文的动机是为具有哈密顿扰动和克尔定律非线性的复杂金兹堡-朗道方程提供啁啾光孤子。我们利用试方程方法和多项式方法的完整判别式系统得到了 19 个精确的啁啾解,比现有论文中得到的解更加丰富。为了验证解的存在性,我们绘制了振幅和相应啁啾的二维图,并讨论了解的动力学性质。据我们所知,这是首次获得论文中控制方程的一整套精确啁啾解。本文的模型和结果可能有助于解释一些非线性问题。
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Chirped optical solitons for the complex Ginzburg–Landau equation with Hamiltonian perturbations and Kerr law nonlinearity
What the motivation of this paper is to provide chirped optical solitons for the complex Ginzburg–Landau equation with Hamiltonian perturbations and Kerr law nonlinearity. We get 19 exact chirped solutions by utilizing trial equation method and the complete discriminant system for polynomial method, which are richer than the solutions acquired in existing papers. We draw the two-dimensional graphs of amplitudes and corresponding chirps in order to verify the existence of the solutions and discuss the dynamical properties of the solutions. To our knowledge, this is the first time that comprehensive set of exact chirped solutions of the governing equation in the paper are obtained. The model and the results obtained in this paper may help explain some nonlinear problems.
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