Tsoy E N, Abdullaev F Kh
Physical-Technical Institute of the Uzbek Academy of Sciences, 2-B Mavlyanov Street, Tashkent 700084, Uzbekistan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 May;67(5 Pt 2):056610. doi: 10.1103/PhysRevE.67.056610. Epub 2003 May 14.
The interaction of two rectangular pulses in the nonlinear Schrödinger model is studied by solving the appropriate Zakharov-Shabat system. It is shown that two real pulses may result in an appearance of moving solitons. Different limiting cases, such as a single pulse with a phase jump, a single chirped pulse, in-phase and out-of-phase pulses, and pulses with frequency separation, are analyzed. The thresholds of creation of new solitons and multisoliton states are found.
通过求解适当的扎哈罗夫 - 沙巴特系统，研究了非线性薛定谔模型中两个矩形脉冲的相互作用。结果表明，两个实脉冲可能导致移动孤子的出现。分析了不同的极限情况，如具有相位跃变的单个脉冲、单个啁啾脉冲、同相和异相脉冲以及具有频率分离的脉冲。找到了产生新孤子和多孤子态的阈值。
