具有克尔非线性和共振杂质的介质中的孤子传播：一种变分方法。
Soliton propagation in a medium with Kerr nonlinearity and resonant impurities: a variational approach.
作者信息
Caetano D P, Cavalcanti S B, Hickmann J M, Kamchatnov A M, Kraenkel R A, Makarova E A
机构信息
Departamento de Física, Universidade Federal de Alagoas, Cidade Universitária, AL 57072-970 Maceió, Brazil.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Apr;67(4 Pt 2):046615. doi: 10.1103/PhysRevE.67.046615. Epub 2003 Apr 25.
Using a variational approach we have studied the shape preserving coherent propagation of light pulses in a resonant dispersive medium in the presence of the Kerr nonlinearity. Within the framework of a combined nonintegrable system composed of one nonlinear Schrödinger and a pair of Bloch equations, we show the existence of a solitary wave. We have tested our analytical solution through numerical simulations confirming its solitary wave nature.
我们采用变分方法研究了在克尔非线性存在的情况下，光脉冲在共振色散介质中的保形相干传播。在由一个非线性薛定谔方程和一对布洛赫方程组成的组合不可积系统框架内，我们证明了孤波的存在。我们通过数值模拟检验了我们的解析解，证实了其孤波性质。
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