Recurrence of initial state of the Korteweg–de Vries equation

DOI10.1063/1.862824zbMath0408.76010OpenAlexW1963571210MaRDI QIDQ4196092

Takashi Abe, Kanji Abe

Publication date: 1979

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.862824

zbMATH Keywords

Korteweg-De Vries EquationFourier Expansion MethodRecurrence of The Initial State

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

Related Items (9)

Numerical finite-gap integration of the Zabusky–Kruskal problem ⋮ Long-time behaviour of soliton ensembles. I: Emergence of ensembles. ⋮ Computational synergetics and mathematical innovation ⋮ On hidden solitons in KdV related systems ⋮ Propagation of \(sech^2\)-type solitary waves in higher-order KdV-type systems ⋮ Recurrence and chaotic behavior resulting from nonlinear interaction between long and short waves ⋮ On the KdV soliton formation and discrete spectral analysis ⋮ The Korteweg-de Vries equation: a historical essay ⋮ On the long-time behaviour of soliton ensembles

This page was built for publication: Recurrence of initial state of the Korteweg–de Vries equation