本傑明-博納-馬奧尼方程
本傑明 - 博納 - 馬奧尼方程(Benjamin–Bona–Mahony equation)是本傑明、博納和馬奧尼在1972年模擬流體力學中小振幅長波的非線性偏微分方程:
行波解
![](http://images.weserv.nl/?url=//upload.wikimedia.org/wikipedia/commons/thumb/0/0d/BBM_animation.gif/220px-BBM_animation.gif)
BBM 方程有行波解.[1]
參數: _C3 = 5, _C2 =5,, _C1 = 5;
參考文獻
- Avrin, Joel; Goldstein, Jerome A., Global existence for the Benjamin–Bona–Mahony equation in arbitrary dimensions., Nonlinear Anal., 1985, 9 (8): 861–865, MR 0799889, doi:10.1016/0362-546X(85)90023-9
- Benjamin, T. B.; Bona, J. L.; Mahony, J. J., Model Equations for Long Waves in Nonlinear Dispersive Systems, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1972, 272 (1220): 47–78, Bibcode:1972RSPTA.272...47B, ISSN 0962-8428, JSTOR 74079, doi:10.1098/rsta.1972.0032
- Zwillinger, Daniel, Handbook of differential equations 3rd, Boston, MA: Academic Press, Inc.: 174, 176, 1998, ISBN 978-0-12-784396-4, MR 0977062