The abundant symmetry structure of hierarchies of nonlinear equations obtained by reciprocal links

DOI10.1063/1.528604zbMath0693.35137OpenAlexW2052544885MaRDI QIDQ3468003

Sandra Carillo, Benno Fuchssteiner

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528604

zbMATH Keywords

Bäcklund transformationhierarchiesKawamoto-type equationreciprocal links

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (16)

On the Recursion Operator for the Noncommutative Burgers Hierarchy ⋮ Symmetries and Lie algebras of the Harry Dym hierarchy ⋮ Two new supersymmetric equations of harry dym type and their supersymmetric reciprocal transformations ⋮ Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart ⋮ Squared eigenfunction symmetries for soliton equations. I ⋮ Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation ⋮ Nonlinear evolution equations: Bäcklund transformations and Bäcklund charts ⋮ Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations ⋮ Supersymmetric integrable systems associated with KdV and MKdV equations ⋮ Recursion operators admitted by non-abelian Burgers equations: some remarks ⋮ KdV-type equations linked via Bäcklund transformations: remarks and perspectives ⋮ Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods ⋮ Abelian versus non-abelian Bäcklund charts: some remarks ⋮ A novel Bäcklund invariance of a nonlinear differential equation ⋮ Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation ⋮ The transformations between N = 2 supersymmetric Korteweg-de Vries and Harry Dym equations

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