Korteweg-deVries equation, I. Global existence of smooth solutions

DOI10.3792/pja/1195520667zbMath0194.41801OpenAlexW1987619981MaRDI QIDQ5590267

Yoshinori Kametaka

Publication date: 1969

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195520667

zbMATH Keywords

partial differential equations

Related Items (10)

Korteweg-deVries equation, II. Finite difference approximation ⋮ Korteweg-deVries equation, III. Global existence of asymptotically periodic solutions ⋮ On the generalized Korteweg-deVries equation ⋮ A simple similarity-transformation-iterative scheme applied to Korteweg-de Vries equation ⋮ An almost symmetric Strang splitting scheme for nonlinear evolution equations ⋮ Initial boundary-value problems for the Korteweg-de Vries equation ⋮ Why the Hamilton operator alone is not enough ⋮ Existence of solution to Korteweg-de Vries equation in a non-parabolic domain ⋮ On global solutions of the generalized Korteweg-de Vries equation ⋮ Classical solutions of the korteweg—devries equation for non—smooth initial data via inverse scattering^*

Cites Work

• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Integrals of nonlinear equations of evolution and solitary waves
• Korteweg-deVries equation, II. Finite difference approximation

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