ISSN:
1432-1467
Schlagwort(e):
Key words. BBM equation, generalized BBM equation, RLW equation, generalized RLW equation, stable solitary-waves, unstable solitary-waves
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
,
Physik
Notizen:
Summary. Investigated here are interesting aspects of the solitary-wave solutions of the generalized Regularized Long-Wave equation u_t + u_x + \alpha (u^p)_x - \beta u_{xxt} = 0. For p〉5 , the equation has both stable and unstable solitary-wave solutions, according to the theory of Souganidis and Strauss. Using a high-order accurate numerical scheme for the approximation of solutions of the equation, the dynamics of suitably perturbed solitary waves are examined. Among other conclusions, we find that unstable solitary waves may evolve into several, stable solitary waves and that positive initial data need not feature solitary waves at all in its long-time asymptotics.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/s003320010003
Permalink