The asymptotic behavior of solutions of the Korteweg-de Vries equation evolving from very irregular data

DOI10.1016/S0003-4916(87)80016-7zbMath0642.35072MaRDI QIDQ1101619

Thomas Kappeler, Amy Cohen Murray

Publication date: 1987

Published in: Annals of Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationKorteweg-de Vries equationtransmission coefficientinitial conditionsinverse scattering methodmultisoliton solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) PDEs with low regular coefficients and/or low regular data (35R05) Partial differential equations of mathematical physics and other areas of application (35Q99) Scattering theory of linear operators (47A40)

Related Items (1)

One smoothing property of the scattering map of the KdV on \(\mathbb{R}\)

Cites Work

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• Korteweg-de Vries equation; asymptotic behavior of solutions
• Solutions of the Korteweg-de Vries equation from irregular data
• On the N-tuple wave solutions of the Korteweg-de Vries equation
• Operator methods for inverse scattering on the real line
• Solutions to the korteweg - devries equation with irregular initial profile
• Note on Asymptotic Solutions of the Korteweg-de Vries Equation with Solitons
• Asymptotic Solutions of the Korteweg-deVries Equation
• Inverse scattering on the line
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves

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