Two blow-up criteria of solutions to a modified two-component Camassa-Holm system-Reference-Cited by-同舟云学术

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Two blow-up criteria of solutions to a modified two-component Camassa-Holm system

Published:2014-02-04 Issue:1 Volume:2014 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Ma Caochuan,Jin Liangbing,Jin Yanyi

Abstract

Abstract In this paper, we establish two sufficient conditions on the initial data to guarantee a blow-up phenomenon for the modified two-component Camassa-Holm (MCH2) system. MSC:37L05, 35Q58, 26A12.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2014-54.pdf

Reference31 articles.

1. Holm D, Náraigh LÓ, Tronci C: Singular solutions of a modified two-component Camassa-Holm equation. Phys. Rev. E 2009.,3(79): Article ID 016601

2. Contemp. Math. 526;C Guan,2010

3. Guo Z, Zhu M: Wave breaking for a modified two-component Camassa-Holm system. J. Differ. Equ. 2012,252(3):2759–2770. 10.1016/j.jde.2011.09.041

4. Guo Z, Zhu M, Ni L: Blow-up criteria of solutions to a modified two-component Camassa-Holm system. Nonlinear Anal., Real World Appl. 2011, 12: 3531–3540. 10.1016/j.nonrwa.2011.06.013

5. Olver P, Rosenau P: Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support. Phys. Rev. E 1996, 53: 1900–1906.

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