The interplay between differential geometry and differential equations V.V. Lychagin, editor.
Series American Mathematical Society translations ; ser. 2, v. 167 | Advances in the mathematical sciences ; 24Detalles de publicación: Providence, R.I. American Mathematical Society c1995.Descripción: ix, 294 pISBN:- 0821804286 (acid-free)
- 510 s 515/.355 20
- QA3 .A572 ser. 2, vol. 167
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| Libro | Biblioteca Encarnación Valdés Colección General bev | 515 I61 (Navegar estantería(Abre debajo)) | Disponible | 80000001848509 |
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Descripciones mejoradas de Syndetics:
This work applies symplectic methods and discusses quantization problems to emphasize the advantage of an algebraic geometry approach to nonlinear differential equations. One common feature in most of the presentations in this book is the systematic use of the geometry of jet spaces.
Includes bibliographical references.
Tabla de contenidos provista por Syndetics
- Modeling integro-differential equations and a method for computing their symmetries and conservation laws
- Braiding of the Lie algebra $sl(2)$
- Poisson-Lie aspects of classical $W$-algebras
- On symmetry subalgebras and conservation laws for the $k-\epsilon$ turbulence model and the Navier-Stokes equations
- Graded Frolicher-Nijenhuis brackets and the theory of recursion operators for super differential equations
- Symplectic geometry of mixed type equations
- Homogeneous geometric structures and homogeneous differential equations
- Geometry of quantized super PDEs
- Symmetries of linear ordinary differential equations
- Foliations of manifolds and weighting of derivatives
- Higher symmetry algebra structures and local equivalences of Euler-Darboux equations
- Hyperbolicity and multivalued solutions of Monge-Ampere equations
- Singularities of solutions of the Maxwell-Dirac equation
- Characteristic classes of Monge-Ampere equations