The large-time development of the solution to an initial-boundary value problem for the Korteweg-de Vries equation on the negative quarter-plane

DOI10.1016/j.jde.2009.03.019zbMath1171.35105OpenAlexW2088154822MaRDI QIDQ1029152

J. A. Leach

Publication date: 9 July 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.03.019

zbMATH Keywords

asymptotic solutionKorteweg-de Vries equationquarter-plane

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with quantum mechanics (35Q40)

Related Items (3)

An initial-boundary value problem for the Korteweg-de Vries equation on the negative quarter-plane ⋮ A quarter-plane problem for the modified Burgers’ equation ⋮ 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

Cites Work

• Unnamed Item
• Asymptotic behavior of the Korteweg-de Vries equation posed in a quarter plane
• The large-time development of the solution to an initial-boundary value problem for the Korteweg-de Vries equation. I: Steady state solutions
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• KdV dynamics in the plasma-sheath transition.
• A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect
• 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
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• The initial boundary problem for the Korteweg-de Vries equation on the negative quarter-plane

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