An extension of integrable peakon equations with cubic nonlinearity

By Xianguo Geng, Bo Xue. 2009

157 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d2f0e8378f28fa91fea1151843e2bd1a513ea1f3

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. G. Petronilho
2. Rafael F. Barostichi
3. A. Alexandrou Himonas
4. Zhaoyang Yin
5. Xing-Ping Wu
6. Yue Liu

In Statistical and Nonlinear Physics

1. Xing-Ping Wu
2. G. Petronilho
3. Rafael F. Barostichi
4. A. Alexandrou Himonas
5. Zhaoyang Yin
6. Yue Liu
7. Giuseppe Maria Coclite
8. Kenneth Hvistendahl Karlsen

Citations in the corpus

• Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems (2016, background): “The 2NE system was introduced recently by Geng and Xue in [32] who proved its integrability and established its Hamiltonian structure.”
• Global weak solutions for the Novikov equation (2011, background): “Analogous to the Camassa–Holm equation, the Novikov equation has a bi-Hamiltonian structure and an infinite sequence of conserved quantities, and admits exact peakon solutions [19, 26], i.”