This Letter explores a three-wave-resonant-interaction system that is widely seen in fluid mechanics, plasma physics and nonlinear optics. With the aid of the iterated-form generalized Darboux transformation method, we obtain the second-order analytic solutions that illustrate the double-pole dark-bright mixed solitons. Under certain parameter conditions, the double-pole bright-dark-bright solitons are illustrated through the 3D, density and contour plots. Those plots demonstrate the stable attractive forces between the adjacent soliton components. Moreover, we conduct the asymptotic analysis on the double-pole bright-dark-bright solitons to investigate their physical properties, which are consistent with those in the plots. Our work might contribute to the studies of the dynamic properties of the curved dark-bright solitons and be extended to the double-pole dark-bright mixed solitons within the other integrable systems.

中文翻译：

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三波谐振相互作用系统的双极暗亮混合孤子


这封信探讨了广泛应用于流体力学、等离子体物理学和非线性光学中的三波谐振相互作用系统。借助迭代形式的广义达布变换方法，我们获得了描述双极暗亮混合孤子的二阶解析解。在一定的参数条件下，双极亮-暗-亮孤子通过3D图、密度图和等高线图来说明。这些图展示了相邻孤子分量之间的稳定吸引力。此外，我们对双极亮-暗-亮孤子进行了渐近分析，以研究其物理性质，结果与图中的一致。我们的工作可能有助于研究弯曲暗亮孤子的动态特性，并扩展到其他可积系统中的双极暗亮混合孤子。