Differential Constraints Compatible with Linearized Equations

DOI10.2991/jnmp.1998.5.4.3zbMath0947.35143arXivmath/9810207OpenAlexW2153317771MaRDI QIDQ4498242

Ahmet T. Ṣatir

Publication date: 15 August 2000

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

Full work available at URL: https://arxiv.org/abs/math/9810207

zbMATH Keywords

group invariancereduction methodsdifferential constraints

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

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• Evolutionary equations with nontrivial Lie-Bäcklund group
• Differential constraints, recursion operators, and logical integrability
• The construction of special solutions to partial differential equations
• Group-Invariant Solutions of Differential Equations
• Symmetries and Integrability
• A symmetry approach to exactly solvable evolution equations
• Factorization of operators I. Miura transformations
• A classification of pseudospherical surface equations of type u t=u xxx+G(u,u x,u xx)
• Direct reduction and differential constraints
• Second-order evolution equations with symmetries

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