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Wave Breaking and Measure of Momentum Support for an Integrable Camassa‐Holm System with Two Components
Author(s) -
Guo Zhengguang,
Zhu Mingxuan
Publication year - 2013
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12004
Subject(s) - integrable system , camassa–holm equation , momentum (technical analysis) , initial value problem , breaking wave , measure (data warehouse) , mathematics , mathematical analysis , mathematical physics , physics , wave propagation , computer science , quantum mechanics , finance , economics , database
We discuss a new integrable two‐component Camassa‐Holm equation which describes the motion of fluid. This paper is concerned with the wave breaking mechanism for the Cauchy problem with periodic condition where two special classes of initial data are involved. Moreover, the estimate of momentum support is also shown.