Geometrical structure and Bäcklund transformations of nonlinear evolution equations possessing a lax representation

DOI10.1007/BF01032735zbMath0467.35003MaRDI QIDQ1155773

Anatoliy K. Prykarpatsky

Publication date: 1981

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationsnonlinear evolution equationsinverse scatteringgeometrical structurelax representation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Cites Work

• E-compact extensions of topological spaces
• The soliton connection
• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
• Method for Solving the Korteweg-deVries Equation
• General Derivation of Bäcklund Transformations from Inverse Scattering Problems
• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
• Soliton solutions and the higher order Korteweg–de Vries equations
• Integrals of nonlinear equations of evolution and solitary waves
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