On the Blow-up of Solutions to the Integrable Modified Camassa–holm Equation

نویسندگان

  • YUE LIU
  • PETER J. OLVER
  • CHANGZHENG QU
  • SHUANGHU ZHANG
  • PETER OLVER
چکیده

We derive conditions on the initial data, including cases where the initial momentum density is not of one sign, that produce blow-up of the induced solution to the modified integrable Camassa-Holm equation with cubic nonlinearity. The blow-up conditions are formulated in terms of the initial momentum density and the average initial energy.

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تاریخ انتشار 2013