On the generalized Korteweg-deVries equation

DOI10.3792/pja/1195520159zbMath0224.35045OpenAlexW1977892579WikidataQ56865596 ScholiaQ56865596MaRDI QIDQ5630073

Masayoshi Tsutsumi, Toshio Mukasa, R.Iino

Publication date: 1970

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/1195520159

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

The Cauchy problem for 3-evolution equations with data in Gelfand-Shilov spaces ⋮ KdV-type equations in projective Gevrey spaces ⋮ Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation ⋮ Hylomorphic solitons for the generalized KdV equation ⋮ Supercritical Zakharov-Kuznetsov equation posed on bounded rectangles ⋮ On Existence and Uniqueness for a New Class of Nonlinear Partial Differential Equations Using Compactness Methods and Differential Difference Schemes ⋮ On global solutions of the generalized Korteweg-de Vries equation ⋮ Local well-posedness of the coupled KdV-KdV systems on \(\mathbb{R}\) ⋮ Classical solutions of the korteweg—devries equation for non—smooth initial data via inverse scattering^*

Cites Work

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• The initial value problem for the sequence of generalized Korteweg-de Vries equations
• On the Korteweg - de Vries equation: Existence and uniqueness
• Sur un problème non linéaire
• Korteweg-deVries equation, I. Global existence of smooth solutions

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