Numerical Study of the Regularized Long-Wave Equation. II: Interaction of Solitary Waves
Numerical Study of the Regularized Long-Wave Equation. II: Interaction of Solitary Waves
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DOI：
10.1016/0021-9991(77)90088-2
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发表时间：
1977
影响因子：
4.1
通讯作者：
J. C. Eilbeck;G.R McGuire
中科院分区：
文献类型：
--
作者：
J. C. Eilbeck;G.R McGuire
Numerical studies of solitary wave solutions of the regularized long-wave (RLW) equation,μt+μx+μμx—μxxt= 0, show that they exhibit true soliton behavior, being stable on collision with other solitary waves. Furthermore, arbitrary initial pulses break up into solitary waves together with an oscillating tail. Even at large amplitudes where large discrepancies might have been expected, the behavior of solutions of the RLW equation mirrors closely, both qualitatively and quantitavely, the behavior of solutions of the Korteweg-de Vries equation.
