Bäcklund transformations for Darboux integrable differential systems: examples and applications
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Publication:255656
DOI10.1016/j.geomphys.2015.12.005zbMath1343.37072arXiv1407.3011OpenAlexW2963064595WikidataQ115353077 ScholiaQ115353077MaRDI QIDQ255656
Publication date: 9 March 2016
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.3011
Geometric methods in ordinary differential equations (34A26) Invariance and symmetry properties for PDEs on manifolds (58J70) Exterior differential systems (Cartan theory) (58A15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
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- The Cauchy problem for Darboux integrable systems and non-linear d'Alembert formulas
- Symmetry reduction of exterior differential systems and Bäcklund transformations for PDE in the plane
- Characteristics and the geometry of hyperbolic equations in the plane
- Bäcklund transformations and Darboux integrability for nonlinear wave equations
- Superposition formulas for exterior differential systems
- Hyperbolic exterior differential systems and their conservation laws. I
- Characteristic cohomology of differential systems. II: Conservation laws for a class of parabolic equations
- Bäcklund transformations for Darboux integrable differential systems
- Exterior differential systems with symmetry
- Sur les équations aux dérivées partielles du second ordre, F(x,y,z, p,q,r,s,t)=0, intégrables par la méthode de Darboux. 2
