The thermodynamic limit of the Whitham equations
The thermodynamic limit of the Whitham equations
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DOI：
10.1016/s0375-9601(03)00515-2
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发表时间：
2003-05-19
影响因子：
2.6
通讯作者：
El, GA
中科院分区：
文献类型：
--
作者：
El, GA
给出了KdV-Whitham方程的无穷亏格极限。极限涉及到相关光谱表面的特殊标度，使得积分的态密度保持有限，如N-->；无穷大(热力学类型的极限)。极限积分-微分系统描述了态密度的缓慢演化，可以看作是孤子气体的动力学方程。(C)2003 Elsevier Science B.V.保留所有权利。
The infinite-genus limit of the KdV-Whitham equations is derived. The limit involves special scaling for the associated spectral surface such that the integrated density of states remains finite as N --> infinity (the thermodynamic type limit). The limiting integro-differential system describes slow evolution of the density of states and can be regarded as the kinetic equation for soliton gas. (C) 2003 Elsevier Science B.V. All rights reserved.