On the Cauchy problem for the periodic b-family of equations and of the non-uniform continuity of Degasperis–Procesi equation |
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| Authors: | Ognyan Christov Sevdzhan Hakkaev |
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| Affiliation: | aFaculty of Mathematics and Informatics, Sofia University, 1164 Sofia, Bulgaria;bFaculty of Mathematics and Informatics, Shumen University, 9712 Shumen, Bulgaria |
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| Abstract: | We consider the problem of the existence of the global solutions and formation of singularities for a b-family of equations which includes the Camassa–Holm and Degasperis–Procesi equation. We also consider the problem of the uniformly continuity of Degasperis–Procesi equation. |
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| Keywords: | Blow-up Uniform continuity Camassa– Holm equation |
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