On the integrability of linear and nonlinear partial differential equations

By A. S. Fokas. 2000

172 citations recorded by the source corpus.

Subfields: Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/509fe8a4fb0fa1b704d19db4b27cd6e91ee246d6

How researchers see this paper

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

In Numerical Analysis

1. Jonatan Lenells
2. Mark J. Ablowitz
3. Ziad Musslimani
4. A. S. Fokas
5. Beatrice Pelloni
6. Justin Holmer
7. Shou‐Fu Tian
8. Anne Boutet de Monvel

In Statistical and Nonlinear Physics

1. Ziad Musslimani
2. Jonatan Lenells
3. Mark J. Ablowitz
4. A. S. Fokas
5. Dmitry Shepelsky
6. Shou‐Fu Tian
7. Yan Rybalko
8. Jianke Yang

Citations in the corpus

• On a new non-local formulation of water waves (2006, methodology): “A crucial role in this approach is played by a non-local equation, called the global relation in Fokas (2000), as well as by the equations obtained from the global relation using certain invariant transformations.”
• Two–dimensional linear partial differential equations in a convex polygon (2001, methodology): “(8) Recently, progress has been made for the extension of this method to multidimensions (see Fokas 2000).”
• The unified method: I. Nonlinearizable problems on the half-line (2011, methodology): “Introduction A unified method for analyzing boundary value problems, extending ideas of the so-called inverse scattering transform method, was introduced in [29, 30, 38].”