Evolution equations and \(\text{sl}(2, \mathbb R)\)-valued Bäcklund forms

DOI10.1016/0034-4877(85)90057-6zbMath0621.35098OpenAlexW2084235721MaRDI QIDQ1089842

B. George

Publication date: 1985

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(85)90057-6

zbMATH Keywords

evolution equationssine-GordonKdVMKdV\(\text{sl}(2, \mathbb R)\)-valued Bäcklund forms

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

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• Integrable nonlinear Klein-Gordon equations and Toda lattices
• Modifying Lax equations and the second Hamiltonian structure
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• On the nature of the Gardner transformation
• Prolongation structures of nonlinear evolution equations
• Almost Periodic Solutions of the KdV Equation
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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