Differential substitutions of the Miura transformation type

DOI10.1007/BF02557141zbMath0948.35012OpenAlexW1969721443MaRDI QIDQ1567948

N. Delaunay

Publication date: 19 November 2000

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

Full work available at URL: https://doi.org/10.1007/bf02557141

zbMATH Keywords

families of evolution equations

Mathematics Subject Classification ID

Related Items (9)

Formal integrals and Noether operators of nonlinear hyperbolic partial differential systems admitting a rich set of symmetries ⋮ Lax pair for a novel two-dimensional lattice ⋮ Relationships between symmetries depending on arbitrary functions and integrals of discrete equations ⋮ Symmetry algebras of Lagrangian Liouville-type systems ⋮ Symmetry drivers and formal integrals of hyperbolic systems ⋮ On differential substitutions for evolution systems ⋮ Differential substitutions for non-Abelian equations of KdV type ⋮ The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations ⋮ Laplace invariants of hyperbolic equations linearizable by a differential substitution

Cites Work

• Computation of the Lie-Bäcklund algebras for second-order equations
• Invertible changes of variables generated by Bäcklund transformations
• The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane
• On the Darboux integrable hyperbolic equations
• On the symmetries of evolution equations
• QUASILINEAR HYPERBOLIC EQUATIONS WITH AN INFINITE-DIMENSIONAL SYMMETRY ALGEBRA
• Unnamed Item

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