论文标题
具有抛物线潜力的经典和非局部和非局部毛的新动力学
New dynamics of the classical and nonlocal Gross-Pitaevskii equation with a parabolic potential
论文作者
论文摘要
具有抛物线潜力和增益项的经典和非局部和非局部毛pitaevskii（GP）方程的溶液是通过使用二阶非镜头Ablowitz-kaup-newell-Segur-segur-segur-segur系统和Double Wronskians还原技术得出的。经典GP方程的解决方案显示出典型的时空局部特征。通过数学分析和插图发现了一个有趣的动态，即带有振荡波的孤子。还说明了某些非局部病例的解决方案。
Solutions of the classical and nonlocal Gross-Pitaevskii (GP) equation with a parabolic potential and a gain term are derived by using a second order nonisospectral Ablowitz-Kaup-Newell-Segur system and reduction technique of double Wronskians. Solutions of the classical GP equation show typical space-time localized characteristics. An interesting dynamics, solitons carrying an oscillating wave, are found with mathematical analysis and illustrations. Solutions of some nonlocal cases are also illustrated.
