A note on Miura’s transformation

DOI10.1063/1.524197zbMath0425.35005OpenAlexW2016500506MaRDI QIDQ3860190

Mark J. Ablowitz, Harvey Segur, Martin D. Kruskal

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524197

zbMATH Keywords

solution setKorteweg-de Vries equationmodified Korteweg-de Vries equationMiura transformationPainlevé transcendent

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Cites Work

• The Korteweg–deVries Equation: A Survey of Results
• Asymptotic Solutions of the Korteweg-deVries Equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation