A commutativity theorem of partial differential operators

DOI10.1007/BF01269925zbMath0451.35008OpenAlexW2017307801MaRDI QIDQ1147886

Gue-Zhang Tu

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01269925

zbMATH Keywords

symmetryconservation lawBäcklund transformationsnonlinear evolution equationscommutativitypartial differential operators

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

The abundant symmetry structure of hierarchies of nonlinear equations obtained by reciprocal links, Symmetries and Integrability, On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation, Differential algebra of the “even order Korteweg–De Vries equations”, The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers' equations, Evolution equations with high order conservation laws, On the structure of exceptional evolution polynomials, On the permutability of Bäcklund transformations, The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants

Cites Work

• The Lie algebra of invariant group of the KdV, MKdV, or Burgers equation
• Evolution equations possessing infinitely many symmetries
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws