Small dispersion limit of the Korteweg-de Vries equation with periodic initial conditions and analytical description of the Zabusky-Kruskal experiment

DOI10.1016/j.physd.2016.03.003zbMath1415.35238OpenAlexW2296733954MaRDI QIDQ2000234

Guo Deng, Stefano Trillo, Gino Biondini

Publication date: 28 June 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2016.03.003

zbMATH Keywords

solitonsKorteweg-de Vries equationWKB methodinverse scattering

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40)

Related Items

Numerical finite-gap integration of the Zabusky–Kruskal problem, Lax Eigenvalues in the Zero-Dispersion Limit for the Benjamin–Ono Equation on the Torus, Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data, Dynamics of Complex Singularities of Nonlinear PDEs, Whitham modulation theory for the Kadomtsev– Petviashvili equation, Dispersive hydrodynamics: Preface, Solitary wave fission of a large disturbance in a viscous fluid conduit

Uses Software

• DLMF

Cites Work

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