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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Soliton exotic collision of the (2+1)-dimensional modified dispersive water-wave system in fluid mechanics
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Soliton exotic collision of the (2+1)-dimensional modified dispersive water-wave system in fluid mechanics

机译:流体力学(2 + 1)二维改进的分散水波系统的孤子异乎寻常的碰撞

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摘要

Using the bifunction method with the exponential form solution, which includes many solutions reported in literatures, we can obtain variable separation solutions of the (2+1)-dimensional modified dispersive water-wave system in fluid mechanics. Based on the exponential-form variable separation solution, we discuss special soliton collision between two dromion-pairs constructed by one dromion and one anti-dromion for two field components of system. Moreover, we also study compacton-like soliton fusion and fission phenomena for two field components. The singularity and un-physical structure is found for one of two field components when we discuss soliton collision between two dromion-pairs for another component, thus researcher must consider the construction of localized coherent structures for all field components in order to guarantee the importance of the research for localized coherent structures based on variable separation solutions.
机译:使用具有指数形式解决方案的双功能方法,包括在文献中报告的许多解决方案,我们可以在流体力学中获得(2 + 1) - 二维改进的分散水波系统的可变分离溶液。 基于指数形式的可变分离解决方案,我们讨论由一个DROMION构造的两个DROMION对之间的特殊孤子碰撞,以及系统的两个现场分量的一个防序。 此外,我们还研究了两个现场组件的基同孤独的融合和裂变现象。 当我们讨论两个DROMION对的另一个组件之间的孤子碰撞时,发现了奇点和不良结构,因此研究人员必须考虑所有现场部件的局部相干结构的构建,以保证重要性 基于可变分离溶液的局部相干结构研究。

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