The large-time asymptotic solution of the mKdV equation

DOI10.1017/S095679251500025XzbMath1383.35192OpenAlexW1446016686MaRDI QIDQ4594565

Andrew P. Bassom, J. A. Leach

Publication date: 24 November 2017

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s095679251500025x

zbMATH Keywords

asymptotic methodslarge time solutionsolitons and kinks

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 solutions (35C08)

Cites Work

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• Undular bores and the initial-boundary value problem for the modified Korteweg-de Vries equation
• Solitary wave solutions of the MKdV\(^-\) equation
• Transcritical flow of a stratified fluid over topography: analysis of the forced Gardner equation
• 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
• Formation of shocklike modified Korteweg–de Vries solitons: Application to double layers
• Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data
• The evolution of travelling wavefronts in a hyperbolic Fisher model. III. The initial-value problem when the initial data has exponential decay rates

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