Intrinsic localized modes as solitons of the discrete Hirota equation.

Intrinsic localized modes as solitons of the discrete Hirota equation.
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DOI:
10.1103/physreve.54.2010
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发表时间:
1996-08
期刊:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子:
--
通讯作者:
Konotop;Takeno
Konotop;Takeno
中科院分区:
其他
文献类型:
--
作者:
Konotop;Takeno

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结果表明,具有硬四次非线性的非线性晶格中的本征局域模由离散的Hirota方程控制。对解是真实的的要求导致与局部激发相对应的一类非常有限的可允许孤立子解。特别是,它表明,一个单孤子解只存在于振幅和速度的确定值。给出了双孤子和多孤子局域模解。讨论了问题的一个小参数。\textcopyright{} 1996美国物理学会。
It is shown that intrinsic localized modes in a nonlinear lattice with a hard quartic nonlinearity are governed by the discrete Hirota equation. The requirement for the solution to be real results in a very restricted class of admissible soliton solutions corresponding to the localized excitations. In particular, it is shown that a single-soliton solution exists only at definite values of the amplitude and velocity. Two-soliton and multisoliton localized-mode solutions are reperesented. A small parameter of the problem is discussed. \textcopyright{} 1996 The American Physical Society.