title: Observations of highly localized oscillons with multiple crests and troughs.
abstract: Two types of stable, highly localized Faraday resonant standing waves with multiple crests and troughs are observed in an ethanol-water solution partly filled in a Hele-Shaw cell vertically oscillated with a single frequency. Systematical experiments are performed to investigate the properties of these oscillons. It is found that the wave height of these oscillons is independent of fluid depth from 1 to 5 cm. In particular, some experiments are performed to indicate the high localization of the oscillons, which suggests that these oscillons may be regarded as a combination of the two elementary oscillons discovered by Rajchenbach et al. [Phys. Rev. Lett. 107, 024502 (2011)], for instance, (2,3)=(1,1)+(1,2), where (m,n) denotes an oscillon with m crests and n troughs. So, our experiments also reveal an elegant "arithmetic" of these oscillons. These experimental phenomena are helpful to deepen and enrich our understanding about Faraday waves.
authors.affiliation: State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China.
authors.forename: Xiaochen
authors.initials: X
authors.lastname: Li
authors.affiliation: State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China.
authors.forename: Dali
authors.initials: D
authors.lastname: Xu
authors.affiliation: State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China and Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University (KAU), Jeddah, Saudi Arabia.
authors.forename: Shijun
authors.initials: S
authors.lastname: Liao
mesh_terms: D000431:Ethanol / Q000737:chemistry*; D057446:Hydrodynamics; D055585:Physical Phenomena; D019904:Polymethyl Methacrylate / Q000737:chemistry; D014867:Water / Q000737:chemistry*
chemical_list: D014867:Water; D000431:Ethanol; D019904:Polymethyl Methacrylate