Porsezian K
Raman School of Physics, Pondicherry University, Pondicherry 605 014, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):066607. doi: 10.1103/PhysRevE.68.066607. Epub 2003 Dec 18.
The system of coupled Hirota equations, which explains the simultaneous propagation of two fields in a nonlinear optical fiber with the inclusion of higher-order linear and self-steepening effects, is considered. By making use of a Painlevé singularity structure analysis, the system is found to be an exactly integrable soliton system for three choices of physical parameters. Two of the soliton conditions are already well studied. For the third system, the soliton solutions are obtained using bilinear forms.
考虑耦合的广田方程系统,该系统解释了在包含高阶线性和自陡峭效应的非线性光纤中两个场的同时传播。通过利用Painlevé奇点结构分析,发现该系统对于三种物理参数选择是一个精确可积的孤子系统。其中两个孤子条件已经得到了充分研究。对于第三个系统,使用双线性形式获得了孤子解。