论文标题

二次立方体非中心粒子波导中的新型孤立波和周期性波

Novel solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides

论文作者

Triki, Houria, Kruglov, Vladimir I.

论文摘要

我们在表现出二阶和三阶非线性的非中心对称波导中呈现了广泛的新型孤立和周期性波。我们显示了具有二次和立方非线性的延伸非线性schrödinger方程的明亮,灰色和W形孤立波以及周期性波的存在。我们还获得了控制方程的确切分析代数型孤立波,包括明亮和W形波。结果说明了通过光学波导介质的潜在非线性结构集的传播。由于衍射,二次和立方非线性之间的平衡,这种特权波形的特征是存在。

We present a wide class of novel solitary and periodic waves in a non-centrosymmetric waveguide exhibiting second- and third-order nonlinearities. We show the existence of bright, gray, and W-shaped solitary waves as well as periodic waves for extended nonlinear Schrödinger equation with quadratic and cubic nonlinearities. We also obtained the exact analytical algebraic-type solitary waves of the governing equation, including bright and W-shaped waves. The results illustrate the propagation of potentially rich set of nonlinear structures through the optical waveguiding media. Such privileged waveforms characteristically exist due to a balance among diffraction, quadratic and cubic nonlinearities.

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