Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit

By Y. Matsuno. 2005

134 citations recorded by the source corpus.

Subfields: Oceanography, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0b678c5b3369f55190e5dbe8dbf3b1d9700f54e1

How researchers see this paper

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

In Oceanography

1. Yue Liu
2. Joachim Escher
3. Zhaoyang Yin
4. Rossen I. Ivanov
5. Adrian Constantin
6. Jonatan Lenells
7. Eugen Varvaruca
8. David Henry

In Statistical and Nonlinear Physics

1. Yue Liu
2. Zhaoyang Yin
3. Joachim Escher
4. Jonatan Lenells
5. Adrian Constantin
6. Changzheng Qu
7. Rossen I. Ivanov
8. Ying Fu

Citations in the corpus

• Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation (2006, methodology): “After the Degasperis-Procesi equation (1.2) was derived, many papers were devoted to its study, cf. [13, 27, 32, 36, 38 , 47, 48] and the citations therein.”
• Global weak solutions and blow-up structure for the Degasperis–Procesi equation (2006, background): “Matsuno [39] studied multisoliton solutions and their peakon limits.”
• On the Blow-up Phenomena for the Degasperis–Procesi Equation (2010, unknown): “Mathematics Subject Classification (2000): 35G25, 35L05”
• Inverse scattering transform for the Degasperis–Procesi equation (2010, background): “The dynamics of the peakon interactions for DP was elucidated in [13, 45, 46].”
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation (2007, background): “Matsuno [37] studied multisoliton solutions and their peakon limits.”