当前位置: X-MOL 学术Appl. Math. Lett. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Mixed solutions for an AB system in geophysical fluids or nonlinear optics
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2021-09-04 , DOI: 10.1016/j.aml.2021.107632
Gao-Qing Meng 1 , Hai-Chao Guo 2
Affiliation  

To reveal and analyze the dynamics of degenerate solitons, breathers and mixed breather-rogue waves, we consider an AB system in this manuscript, which models the marginally unstable baroclinic wave packets in geophysical fluids or ultra-short pulses in nonlinear optics. Based on the generalized Darboux transformation, we construct the degenerate soliton, breather and mixed solutions, then some figures are exhibited to illustrate the collision features clearly and some interesting phenomena are shown: (a) Elastic collisions between two solitons with equal amplitude are observed; (b) Collisions between two breathers are plotted, and maximum values of the two breathers keep invariant; (c) Mixture of breather and rogue waves is illustrated. The above wave phenomena are expected to be experimentally observed and have potential applications.



中文翻译:

地球物理流体或非线性光学中 AB 系统的混合解

为了揭示和分析简并孤子、呼吸器和混合呼吸器-流氓波的动力学,我们在本手稿中考虑了一个 AB 系统,它模拟地球物理流体中的边缘不稳定斜压波包或非线性光学中的超短脉冲。基于广义达布变换,我们构造了简并孤子、呼吸器和混合解,然后展示了一些图形来清楚地说明碰撞特征,并展示了一些有趣的现象: (a) 观察到两个等幅孤子之间的弹性碰撞;(b) 绘制了两个呼吸器之间的碰撞,并且两个呼吸器的最大值保持不变;(c) 说明了呼吸波和流氓波的混合。上述波动现象有望通过实验观察并具有潜在应用。

更新日期:2021-09-14
down
wechat
bug