Blow-up criteria of solutions to a modified two-component Camassa-Holm system
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Publication:660762
DOI10.1016/j.nonrwa.2011.06.013zbMath1231.35200OpenAlexW2089551570MaRDI QIDQ660762
Mingxuan Zhu, Zhengguang Guo, Lidiao Ni
Publication date: 5 February 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.06.013
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Blow-up in context of PDEs (35B44)
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Cites Work
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- On an integrable two-component Camassa-Holm shallow water system
- On smooth traveling waves of an integrable two-component Camassa-Holm shallow water system
- On a two-component Degasperis-Procesi shallow water system
- Blow-up of solutions to a nonlinear dispersive rod equation
- Global conservative solutions of the Camassa-Holm equation
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- The Cauchy problem for a two-component generalized \(\theta \)-equations
- Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons
- Infinite propagation speed for a two component Camassa-Holm equation
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Wave breaking for a periodic shallow water equation.
- Breakdown of a shallow water equation
- Stability of solitary waves for a rod equation
- Wave breaking for a shallow water equation
- A two-component generalization of the Camassa-Holm equation and its solutions
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
- Blow-up and global solutions to a new integrable model with two components
- On the weak solutions to a shallow water equation
- On a Camassa–Holm type equation with two dependent variables
- Blow up, global existence, and infinite propagation speed for the weakly dissipative Camassa–Holm equation
- On Solutions to a Two-Component Generalized Camassa-Holm Equation
- Stability of Solitary Waves and Wave-Breaking Phenomena for the Two-Component Camassa-Holm System
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- The Generalized Hunter–Saxton System
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