0792363159 (hardcover : alk. paper)
IR
EN-53458
انگلیسی
IR
Symmetries and recursion operators for classical and supersymmetric differential equations
[Book]
/ by I.S. Krasil?shchik and P.H.M. Kersten
Dordrecht ; Boston ; London
: Kluwer Academic,
, c2000.
xvi, 384 p. , ill. , 25 cm.
(Mathematics and its applications
; v. 507)
Electronic
Includes bibliographical references (p. 373-378) and index.
4. Supersymmetric extensions of the KdV equation, N = 2 -- Ch. 8. Symbolic computations in differential geometry. 1. Super (graded) calculus. 2. Classical differential geometry. 3. Overdetermined systems of PDE.
1. C-cohomologies of partial differential equations. 2. Spectral sequences and graded evolutionary derivations. 3. C-cohomologies of evolution equations. 4. From deformations to recursion operators. 5. Deformations of the Burgers equation. 6. Deformations of the KdV equation. 7. Deformations of the nonlinear Schrodinger equation. 8. Deformations of the classical Boussinesq equation. 9. Symmetries and recursion for the Sym equation -- Ch. 6. Super and graded theories. 1. Graded calculus. 2. Graded extensions. 3. Nonlocal theory and the case of evolution equations. 4. The Kupershmidt super KdV equation. 5. The Kupershmidt super mKdV equation. 6. Supersymmetric KdV equation. 7. Supersymmetric mKdV equation. 8. Supersymmetric extensions of the NLS. 9. Concluding remarks -- Ch. 7. Deformations of supersymmetric equations. 1. Supersymmetric KdV equation. 2. Supersymmetric extensions of the NLS equation. 3. Supersymmetric Boussinesq equation.
Ch. 1. Classical symmetries. 1. Jet spaces. 2. Nonlinear PDE. 3. Symmetries of the Burgers equation. 4. Symmetries of the nonlinear diffusion equation. 5. The nonlinear Dirac equations. 6. Symmetries of the self-dual SU(2) Yang-Mills equations -- Ch. 2. Higher symmetries and conservation laws. 1. Basic structures. 2. Higher symmetries and conservation laws. 3. The Burgers equation. 4. The Hilbert - Cartan equation. 5. The classical Boussinesq equation -- Ch. 3. Nonlocal theory. 1. Coverings. 2. Nonlocal symmetries and shadows. 3. Reconstruction theorems. 4. Nonlocal symmetries of the Burgers equation. 5. Nonlocal symmetries of the KDV equation. 6. Symmetries of the massive Thirring model. 7. Symmetries of the Federbush model. 8. Backlund transformations and recursion operators -- Ch. 4. Brackets. 1. Differential calculus over commutative algebras. 2. Frolicher - Nijenhuis bracket. 3. Structure of symmetry algebras -- Ch. 5. Deformations and recursion operators.
Mathematics and its applications (Kluwer Academic Publishers)
v. 507
Differential equations, Nonlinear
Conservation laws (Mathematics)
Symmetry (Physics)
E-BOOK
Krasil?shchik, I. S. (Iosif Semenovich)
Kersten, P. H. M
ایران
0792363159.pdf
عادی
عادی
0792363159.pdf
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