We study the interaction of suitable small and high frequency waves evolving by the flow of the Benjamin-Ono equation. As a consequence, we prove that the flow map of the Benjamin-Ono equation can not be uniformly continuous on bounded sets of H s (R) for s > 0.

A class of particular travelling wave solutions of the generalized Benjamin-BonaMahony equation are studied systematically using the factorization technique. Then, the general travelling wave solutions of Benjamin-Bona-Mahony equation, and of its modified version, are also recovered. Pacs:05.45.Yv, 52.35.Mw, 52.35.Sb, 02.30.Jr

By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear form of Benjamin-BonaMahony-Burgers (shortly BBMB) equations in its bilinear form. Keywords—Benjamin-Bona-Mahony-Burgers equations, Hirota’s bilinear form, Three-wave method.

About 40 years ago, Snodgrass and other oceanographers (1966) tracked ocean swell propagating across the entire Pacific Ocean. At about the same time, several investigators (including Benjamin and Feir) showed that a uniform train of plane waves of finite amplitude on deep water is unstable. Comparing these two results, each of which is highly cited, leads to the following question: in light of...

Disentangling Spatial Metaphors for Time Using Non-spatial Responses and Auditory Stimuli Esther J. Walker, Benjamin K. Bergen & Rafael Núñez To cite this article: Esther J. Walker, Benjamin K. Bergen & Rafael Núñez (2014) Disentangling Spatial Metaphors for Time Using Non-spatial Responses and Auditory Stimuli, Metaphor and Symbol, 29:4, 316-327, DOI: 10.1080/10926488.2014.948801 To link to th...