Periodic solutions of the KdV equation

By P. Lax. 2010

345 citations recorded by the source corpus.

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/759e06de238cd074440a5816f9a393b10a12253b

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In Statistical and Nonlinear Physics

1. Bernard Deconinck
2. Patrick Gérard
3. Sandrine Grellier
4. Nathaniel Bottman
5. Nikolay Tzvetkov
6. Michael Nivala

Citations in the corpus

• KdV cnoidal waves are spectrally stable (2009, background): “The genus g solutions may be characterized as stationary solutions of the g-th member of the KdV hierarchy [31, 37].”
• Invariant tori for the cubic Szegö equation (2010, methodology): “Our next result is a variational characterization of this torus which implies its stability through the evolution of the cubic Szegö equation, analogously to the result by Lax [11] for KdV.”