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On the finite time singularities for a class of Degasperis–Procesi equations

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Abstract As we all know, the conservation laws take an important part in deriving wave breaking for Degasperis–Procesi (DP) type equation. In the article, we give a new method to… Click to show full abstract

Abstract As we all know, the conservation laws take an important part in deriving wave breaking for Degasperis–Procesi (DP) type equation. In the article, we give a new method to study singularities in finite time for a class of DP equations with high nonlinear terms. The paper tells us that the result of wave breaking can be established without the conservation law.

Keywords: class; degasperis procesi; finite time; time singularities

Journal Title: Nonlinear Analysis: Real World Applications
Year Published: 2018

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