A Bäcklund transformation for the Burgers hierarchy

DOI10.1155/2010/241898zbMath1188.37070OpenAlexW2062571121WikidataQ58649787 ScholiaQ58649787MaRDI QIDQ963175

Chuanyou Xu, Xi-Fang Cao

Publication date: 8 April 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226350

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

Green's functions and the Cauchy problem of the Burgers hierarchy and forced Burgers equation

Cites Work

• Toward a unification of the various techniques used to integrate nonlinear partial differential equations: Bäcklund and Darboux transformations vs. dressing method
• Bäcklund transformations and their applications
• A new method for the investigation of arithmetical properties of analytic functions
• On Bäcklund transformation for a generalized Burgers equation and solitonic solutions
• On Bäcklund transformations for nonlinear partial differential equations
• Inverse variational problem and canonical structure of Burgers equations
• On higher-order Riccati equations as Bäcklund transformations
• Evolution equations possessing infinitely many symmetries
• The Weiss–Tabor–Carnevale Painlevé test and Burgers’ hierarchy
• Hamiltonian formulation of odd Burgers hierarchy
• Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II. Tzitzéica equation

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