The Korteweg–de Vries hierarchy of isospectral transformations: Towards a general explicit expression

DOI10.1063/1.527536zbMath0663.35073OpenAlexW2032661462MaRDI QIDQ3812665

Jacob Katriel, Avia Rosenhouse

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527536

zbMATH Keywords

recurrence relationshomogeneous polynomialKorteweg-de Vries hierarchyisospectral transformations

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items

Constants of motion for the KdV and mKdV equations, An explicit expression for the Korteweg-de Vries hierarchy

Cites Work

• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
• Integrals of nonlinear equations of evolution and solitary waves