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首页> 外文期刊>Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics >Stationary soliton bound states existing in resonance with linear waves
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Stationary soliton bound states existing in resonance with linear waves

机译：线性波共振中存在的静止孤子束缚态

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The phenomenon of stable propagation of spatially localized solitary waves, has been investigated for various dynamical systems. If a solitonlike pulse is in resonance with linear waves, then this pulse emits radiation and therefore it cannot exist as a stationary wave. Nevertheless, it is shown here that two (or more) radiating (and thus nonexisting as stationary waves) single solitonlike pulses can still form a stationary bound state due to mutual trapping of their own radiation. Trapped radiation forms a standing wave, which in turn produces local minima in an effective interaction potential of the neighboring solitons. However, in contrast to conventional solitons, soliton bound states that are formed due to trapped radiation exist only for discrete values of soliton parameters, i.e., such bound states do not form continuous families of localized solutions, and they are inherently unstable. Two physically important systems for which stationary bound states of radiating solitons can be found are considered.
机译：对于各种动力学系统，已经研究了空间局部孤立波的稳定传播现象。如果类似孤子的脉冲与线性波共振，则该脉冲会发出辐射，因此它不能作为固定波存在。然而，这里示出的是，两个（或更多个）辐射（因此不存在作为固定波）的单个孤子状脉冲由于相互捕获自身的辐射而仍可以形成固定的束缚状态。被困的辐射会形成驻波，进而在相邻孤子的有效相互作用势中产生局部最小值。然而，与常规的孤子相反，由于俘获的辐射而形成的孤子束缚态仅对于孤子参数的离散值存在，即，这种束缚态不形成局部解的连续族，并且它们固有地是不稳定的。考虑了两个物理上重要的系统，可以找到辐射孤子的稳态束缚态。

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