Wave-Breaking and Peakons for a Modified Camassa–Holm Equation

By Guilong Gui, Yue Liu, Peter J. Olver, Changzheng Qu. 2013

287 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fd76973b107ccf0b8d5acf18555b75f9728b07dd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Changzheng Qu
2. Yue Liu
3. Shuanghu Zhang
4. Ying Fu
5. Robin Ming Chen
6. Peter J. Olver
7. Fei Guo
8. Gloria Marí Beffa

In Statistical and Nonlinear Physics

1. Changzheng Qu
2. Yue Liu
3. Ying Fu
4. Robin Ming Chen
5. Shuanghu Zhang
6. Peter J. Olver
7. Fei Guo
8. Zhaoyang Yin

Citations in the corpus

• On the blow-up of solutions to the integrable modified Camassa–Holm equation (2014, methodology): “The geometric formulation, integrability, local well-posedness, blow-up criteria and wave breaking, existence of peaked solitons (peakons), andthe stability of single peakons and periodic peakons to the modified CH equation (1.1) were studied recently in [12, 15, 23, 24].”
• Oscillation-induced blow-up to the modified Camassa–Holm equation with linear dispersion (2015, methodology): “Using the preceding criterion, one can derive the following precise blow-up condition [17].”
• Analysis on the blow-up of solutions to a class of integrable peakon equations (2016, background): “One can refer to [6, 8, 9, 10, 11, 12, 16, 19, 22, 28] and the references therein for details.”
• Well-posedness, wave breaking and peakons for a modified μ-Camassa-Holm equation (2014, background): “7) has new features of wave breaking, blow-up criteria and peaked soliton structures [25].”