SOLITARY WAVES, SOLITON BOUND STATES AND CHAOS IN A DISSIPATIVE KORTEWEG-DE VRIES EQUATION

SOLITARY WAVES, SOLITON BOUND STATES AND CHAOS IN A DISSIPATIVE KORTEWEG-DE VRIES EQUATION
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DOI:
10.1142/s0218127494000836
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发表时间:
1994-10
影响因子:
2.2
通讯作者:
V. Nekorkin;M. Velarde
V. Nekorkin;M. Velarde
中科院分区:
数学4区
文献类型:
--
作者:
V. Nekorkin;M. Velarde

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孤立波,脉冲或“孤子”,“绑定孤子”,“混沌”波列等耗散(本地化)结构被证明是解决方案的耗散修改Korteweg-de弗里斯方程,特别是出现在Marangoni-Benard对流时,液体层从空气侧加热,并在剪切,稳定分层流体层的内波的描述。
Propagating dissipative (localized) structures like solitary waves, pulses or “solitons,” “bound solitons,” and “chaotic” wave trains are shown to be solutions of a dissipation-modified Korteweg-de Vries equation that in particular appears in Marangoni-Benard convection when a liquid layer is heated from the air side and in the description of internal waves in sheared, stably stratified fluid layers.