Nonlinear transient dynamics of the driven Klein-Gordon solitons

Eva Majernikova; Y. B. Gaididei; O. M. Braun

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Nonlinear transient dynamics of the driven Klein-Gordon solitons

机译：驱动的Klein-Gordon孤子的非线性瞬态动力学

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The transient nonlinear dynamics of single sine-Gordon and O4 kinks in a small constant external field is investigated analytically. Besides the acceleration of the mass center, the energy supplied by the field is shown to be accumulated by transient oscillations of the kink width: the frequency of oscillation of the kink width grows with the field and time while its amplitude decreases. The dynamics in the asymptotic region illustrates the unstable nature of the kinks. The O4 kink is shown to be much more sensitive to the external field than the sine-Gordon one.

机译：通过分析研究了一个小正弦外场中单正弦-Gordon和O4扭结的瞬态非线性动力学。除了质心的加速度，还显示了场提供的能量是通过扭结宽度的瞬态振荡积累的：扭结宽度的振荡频率随场和时间的增加而幅度减小。渐近区域的动力学说明了扭结的不稳定性质。事实证明，O4扭结对外部磁场的敏感度要比正弦-戈登畸变的敏感得多。

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《Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics》 |1995年第1期|共4页
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Eva Majernikova; Y. B. Gaididei; O. M. Braun;
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1. Nonlinear transient dynamics of the driven Klein-Gordon solitons [J] . Eva Majernikova, Y. B. Gaididei, O. M. Braun Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 1995,第1期

机译：驱动的Klein-Gordon孤子的非线性瞬态动力学
2. Internal mode dynamics in driven nonlinear Klein-Gordon systems [J] . N. R. Quintero, A. Sanchez, F. G. Mertens The European physical journal, B. Condensed matter physics . 2001,第1期

机译：驱动非线性Klein-Gordon系统中的内部模式动力学
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7. Internal mode dynamics in driven nonlinear Klein-Gordon systems [O] . Societa Italiana Di Fisica, N. R. Quintero, A. Sanchez A, 2000

机译：驱动非线性Klein-Gordon系统的内模动力学

Nonlinear transient dynamics of the driven Klein-Gordon solitons

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