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The blow-up phenomena and exponential decay of solutions for a three-component Camassa-Holm equations (1412.4307v2)
Published 14 Dec 2014 in math.AP
Abstract: The present paper is mainly concerned with the blow-up phenomena and exponential decay of solution for a three-component Camassa-Holm equation. Comparing with the result of Hu, ect. in the paper[1], a new wave-breaking solution is obtained. The results of exponential decay of solution in our paper cover and extent the corresponding results in [12, 19, 22].