The large-time development of the solution to an initial-value problem for the generalized Korteweg-de Vries equation

DOI10.1016/J.AML.2010.09.006zbMath1205.35259OpenAlexW2079096392MaRDI QIDQ609991

J. A. Leach

Publication date: 1 December 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.09.006

zbMATH Keywords

asymptotic analysisKorteweg-de Vries equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (1)

Differential quadrature method to examine the dynamical behavior of soliton solutions to the Korteweg-de Vries equation

Cites Work

• An initial-boundary value problem for the Korteweg-de Vries equation on the negative quarter-plane
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• Large time asymptotics of solutions to the generalized Korteweg-de Vries equation
• The large-time development of the solution to an initial-value problem for the Korteweg-de Vries-Burgers equation: I. 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
• Similarity solutions of the generalized Korteweg–de Vries equation
• The evolution of travelling wavefronts in a hyperbolic Fisher model. III. The initial-value problem when the initial data has exponential decay rates
• Model equations for long waves in nonlinear dispersive systems
• Unnamed Item

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