二分量长波短波共振相互作用方程中多模Dromion与防火墙的碰撞
Collision of Multimode Dromions and a Firewall in the Two Component Long Wave Short Wave Resonance Interaction Equation
摘要:
本文研究了两分量长波短波共振相互作用(2CLSRI)方程,证明了它具有Painleve性质。然后,我们适当地利用最近开发的截断Painleve方法来生成指数本地化的解决方案,短波分量$S^{(1)}$和$S^{(2)}$,而长波L承认线孤子。在y方向上驱动短波$S^{(1)}$和$S^{(2)}$的指数定域解被赋予不同的能量(强度)并且被称为“多模dromion”。我们还观察到,多模dromion遭受模内非弹性碰撞,而存在的防火墙的模式之间的能量切换,防止。
英文摘要:
In this paper, we investigate the two component long wave short wave resonance interaction (2CLSRI) equation and show that it admits the Painleve property. We then suitably exploit the recently developed truncated Painleve approach to generate exponentially localized solutions for the short wave components $S^{(1)}$ and $S^{(2)}$ while the long wave L admits line soliton only. The exponentially localized solutions driving the short waves $S^{(1)}$ and $S^{(2)}$ in the y direction are endowed with different energies (intensities) and are called "multimode dromions". We also observe that the multimode dromions suffer intramodal inelastic collision while the existence of a firewall across the modes prevents the switching of energy between the modes.
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