本杰明-博纳-马奥尼方程

本杰明 - 博纳 - 马奥尼方程(Benjamin–Bona–Mahony equation)是本杰明、博纳和马奥尼在1972年模拟流体力学中小振幅长波的非线性偏微分方程：

行波解

 
Benjamin–Bona–Mahony equation animation

BBM 方程有行波解.[1]


 

参数： _C3 = 5, _C2 =5，, _C1 = 5；


参考文献

  1. ^ Benjamin, Bona, and Mahony （1972）
  • 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