An analogue of the Moutard transformation for the Goursat equation \(\vartheta_{xy}=2\sqrt{\lambda(x,y)\vartheta_x\vartheta_y}\)

DOI10.1007/BF02551168zbMath0967.35006MaRDI QIDQ1586693

Elena I. Ganzha

Publication date: 23 November 2000

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

zbMATH Keywords

superposition formulasGoursat equationMoutard equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (4)

Reduction restrictions of Darboux and Laplace transformations for the Goursat equation ⋮ Differential invariants for quasi-linear and semi-linear wave-type equations ⋮ Group classification and exact solutions of nonlinear wave equations ⋮ Group classification of nonlinear wave equations

Cites Work

• Unnamed Item
• On Lie algebras connected with nondiagonalizable integrable hydrodynamics type systems
• Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
• On the Moutard transformation for integrable partial differential equations
• An algebraic formula for superposition and the completeness of the Bäcklund transformations of (2+1)-dimensional integrable systems
• On the characterization of Moutard transformations

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