On global solutions of the generalized Korteweg-de Vries equation

DOI10.2977/prims/1195193545zbMath0232.35072OpenAlexW2052569552MaRDI QIDQ2550886

Masayoshi Tsutsumi

Publication date: 1971

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195193545

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items

Bounded traveling wave solutions for MKdV-Burgers equation with the negative dispersive coefficient, Commutation Methods Applied to the mKdV-Equation, High-speed transmission in long-haul electrical systems, Higher-order derivative nonlinear Schrödinger equation in the critical case, Asymptotics for the third-order nonlinear Schrödinger equation in the critical case, Large time asymptotics for the higher-order nonlinear nonlocal Schrödinger equation, Existence of solution to Korteweg-de Vries equation in a non-parabolic domain, Large time asymptotics of solutions to the generalized Korteweg-de Vries equation, 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 global solution of nonlinear hyperbolic equations
• Method for Solving the Korteweg-deVries Equation
• 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, I. Global existence of smooth solutions
• On the generalized Korteweg-deVries equation