Soliton Equations and Their Algebro-Geometric Solutions: The AKNS Hierarchy

By Fritz Gesztesy, Helge Holden. 2003

350 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c7d119b8d74b95c7f2fb2092be5f04580a00ca6f

How researchers see this paper

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

1. Giuseppe Maria Coclite
2. Kenneth Hvistendahl Karlsen
3. Helge Holden
4. Wenxiu Ma
5. Jin-Yun Yang
6. Mauro Garavello
7. Xavier Raynaud
8. Zhaoyang Yin

Citations in the corpus

• WELL-POSEDNESS OF HIGHER-ORDER CAMASSA-HOLM EQUATIONS (2009, background): “For details about the Camassa–Holm hierarchy, see [20, 21] and references therein.”
• The inverse scattering transform and soliton solutions of a combined modified Korteweg–de Vries equation (2019, methodology): “lutions [3,14,27,28], by applying the inverse scattering transform.”
• Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies (2019, background): “We also remark that it would be interesting to find other kinds of exact solutions to integrable equations, including positon and complexiton solutions [56,57], lump solutions [58–61], and algebro-geometric solutions [16,17,62,63], based on Riemann–Hilbert problems.”