Department of Mathematics2024-11-0920210026-925510.1007/s00605-021-01602-z2-s2.0-85110751921https://hdl.handle.net/20.500.14288/2716In this paper we consider the two component b-family of equations on R. We write the equations on a Sobolev type diffeomorphism group. As an application of this formulation we show that the dependence on the initial data is nowhere locally uniformly continuous. In particular it is nowhere locally Lipschitz and nowhere locally Holder continuous.pdfMathematicsJournal Article1436-5081https://doi.org/10.1007/s00605-021-01602-z674201100001N/ANOIR03091