AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS
AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS
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DOI：
10.1103/physrevlett.71.1661
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发表时间：
1993-09-13
影响因子：
8.6
通讯作者：
HOLM, DD
中科院分区：
文献类型：
--
作者：
CAMASSA, R;HOLM, DD
我们得到了一个新的完全可积的色散浅水方程，它是双哈密顿的，因此在对合中具有无穷多个守恒律。该方程是通过使用渐近展开直接在哈密顿欧拉方程在浅水区。这个方程的孤子解有一个极限形式，在其峰值处的一阶导数中具有不连续性。
We derive a new completely integrable dispersive shallow water equation that is bi-Hamiltonian and thus possesses an infinite number of conservation laws in involution. The equation is obtained by using an asymptotic expansion directly in the Hamiltonian for Euler's equations in the shallow water regime. The soliton solution for this equation has a limiting form that has a discontinuity in the first derivative at its peak.