Wave turbulence in one-dimensional models

被引:3
作者
Guyenne, P
Zakharov, V
Pushkarev, A
Dias, F
机构
[1] Inst Non Lineaire Nice, F-06560 Valbonne, France
[2] Landau Inst Theoret Phys, Moscow, Russia
[3] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
[4] Ecole Normale Super, Ctr Math & Leurs Applicat, F-94235 Cachan, France
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE | 2000年 / 328卷 / 10期
关键词
weak turbulence; dispersive waves; collapse; solitons; hamiltonian systems;
D O I
10.1016/S1620-7742(00)01258-7
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this note, we assess the validity of weak turbulence theory by numerically investigating a three-parameter nonlinear dispersive wave equation. The predicted power-law solutions are explicitly determined and then compared with the numerical results. For both signs of nonlinearity, we show that the weakly turbulent regime is strongly influenced by the presence of coherent structures. These are wave collapses and quasisolitons. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:757 / 762
页数:6
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