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Product Code:  TRANS2/167 
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Hardcover ISBN:  9780821804285 
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Hardcover ISBN:  9780821804285 
Product Code:  TRANS2/167 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433789 
Product Code:  TRANS2/167.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821804285 
eBook ISBN:  9781470433789 
Product Code:  TRANS2/167.B 
List Price:  $340.00$257.50 
MAA Member Price:  $306.00$231.75 
AMS Member Price:  $272.00$206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 167; 1995; 294 ppMSC: Primary 17; 35; 58;
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.
ReadershipResearchers and graduate students interested in nonlinear differential equations, differential geometry, quantum groups, and their applications.

Table of Contents

Chapters

V. N. Chetverikov and A. G. Kudryavtsev  Modeling integrodifferential equations and a method for computing their symmetries and conservation laws

J. Donin and D. Gurevich  Braiding of the Lie algebra $sl(2)$

B. Enriquez, S. Khoroshkin, A. Radul, A. Rosly and V. Rubtsov  PoissonLie aspects of classical $W$algebras

N. G. Khor′kova and A. M. Verbovetsky  On symmetry subalgebras and conservation laws for the $k\epsilon $ turbulence model and the Navier–Stokes equations

P. H. M. Kersten and I. S. Krasil′shchik  Graded Frölicher–Nijenhuis brackets and the theory of recursion operators for super differential equations

A. Kushner  Symplectic geometry of mixed type equations

V. Lychagin  Homogeneous geometric structures and homogeneous differential equations

Agostino Prástaro  Geometry of quantized super PDE’s

Alexey V. Samokhin  Symmetries of linear ordinary differential equations

N. A. Shananin  Foliations of manifolds and weighting of derivatives

Valery E. Shemarulin  Higher symmetry algebra structures and local equivalences of Euler–Darboux equations

D. V. Tunitsky  Hyperbolicity and multivalued solutions of Monge–Ampère equations

L. Zilbergleit  Singularities of solutions of the Maxwell–Dirac equation

L Zilbergleit  Characteristic classes of Monge–Ampère equations


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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.
Researchers and graduate students interested in nonlinear differential equations, differential geometry, quantum groups, and their applications.

Chapters

V. N. Chetverikov and A. G. Kudryavtsev  Modeling integrodifferential equations and a method for computing their symmetries and conservation laws

J. Donin and D. Gurevich  Braiding of the Lie algebra $sl(2)$

B. Enriquez, S. Khoroshkin, A. Radul, A. Rosly and V. Rubtsov  PoissonLie aspects of classical $W$algebras

N. G. Khor′kova and A. M. Verbovetsky  On symmetry subalgebras and conservation laws for the $k\epsilon $ turbulence model and the Navier–Stokes equations

P. H. M. Kersten and I. S. Krasil′shchik  Graded Frölicher–Nijenhuis brackets and the theory of recursion operators for super differential equations

A. Kushner  Symplectic geometry of mixed type equations

V. Lychagin  Homogeneous geometric structures and homogeneous differential equations

Agostino Prástaro  Geometry of quantized super PDE’s

Alexey V. Samokhin  Symmetries of linear ordinary differential equations

N. A. Shananin  Foliations of manifolds and weighting of derivatives

Valery E. Shemarulin  Higher symmetry algebra structures and local equivalences of Euler–Darboux equations

D. V. Tunitsky  Hyperbolicity and multivalued solutions of Monge–Ampère equations

L. Zilbergleit  Singularities of solutions of the Maxwell–Dirac equation

L Zilbergleit  Characteristic classes of Monge–Ampère equations