Conserved densities of the fifth-order Korteweg-de Vries equation

DOI10.1007/BF00316672zbMath0451.35095MaRDI QIDQ1147915

Atsuo Fujimoto, Yoshihide Watanabe

Publication date: 1980

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

zbMATH Keywords

rankconserved densitySawada-Kotera equationfifth-order Korteweg-de Vries equationGel'fand-Dikii transformationmethod of symmetric functions

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

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• Formal variational calculus in the algebra of smooth cylindrical functions
• A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws