Periodic and solitary-wave solutions of the Degasperis-Procesi equation

By V. O. Vakhnenko, E. Parkes. 2004

163 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ef3f7876ea77a20e176c48e55fc93ac365fefbde

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. Yue Liu
2. Zhaoyang Yin
3. Joachim Escher
4. Z. Qiao
5. Guoping Zhang
6. Jonatan Lenells
7. Changzheng Qu
8. Adrian Constantin

In Statistical and Nonlinear Physics

1. Yue Liu
2. Zhaoyang Yin
3. Joachim Escher
4. Jonatan Lenells
5. Z. Qiao
6. Changzheng Qu
7. Guoping Zhang
8. Ying Fu

Citations in the corpus

• Cuspons and Smooth Solitons of the Degasperis–Procesi Equation Under Inhomogeneous Boundary Condition (2007, background): “In the paper [19], Vakhnenko and Parkes presented the periodic and loop soliton solutions for the b = 3 equation – the Degasperis–Procesi (DP) equation [6] from the mathematical point of view.”
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation (2007, background): “Whereas Vakhnenko and Parkes [42] investigated traveling wave solutions of the equation and Holm and Staley [28] studied stability of solitons and peakons numerically.”
• Global weak solutions and blow-up structure for the Degasperis–Procesi equation (2006, background): “Vakhnenko and Parkes [46] investigated traveling wave solutions of Eq.”
• Traveling wave solutions of the Degasperis-Procesi equation (2005, methodology): “We refer to [19] for mathematical expressions for the traveling waves in terms of elliptic integrals.”