The large-time development of the solution to an initial-value problem for the Korteweg-de Vries equation. III: Pure soliton solutions

DOI10.1016/j.na.2010.06.080zbMath1198.35226OpenAlexW1975012888MaRDI QIDQ992843

J. A. Leach

Publication date: 10 September 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.080

zbMATH Keywords

Korteweg-de Vries equationsoliton solutionasymptotic coordinate expansions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Soliton solutions (35C08)

Cites Work

• THE LARGE‐TIME DEVELOPMENT OF THE SOLUTION TO AN INITIAL‐VALUE PROBLEM FOR THE KORTEWEG–DE VRIES EQUATION. II. INITIAL DATA HAS A DISCONTINUOUS COMPRESSIVE STEP
• The large-time development of the solution to an initial-value problem for the Korteweg–de Vries equation: I. Initial data has a discontinuous expansive step
• The Korteweg–deVries Equation: A Survey of Results
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The large-time development of the solution to an initial-value problem for the Korteweg-de Vries equation. III: Pure soliton solutions