Research Catalog

Title

Contact geometry and non-linear differential equations / Alexei Kushner, Valentin Lychagin and Vladimir Rubtsov.

Author

Kushner, Alexei.

Publication

Cambridge, UK ; New York : Cambridge University Press, 2007.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Lychagin, V. V. (Valentin Vasilʹevich)
• Rubt͡sov, V. (Vladimir)

Description

xxi, 496 p. : ill.; 24 cm.

Series Statement

Encyclopedia of mathematics and its applications ; v. 101

Uniform Title

Encyclopedia of mathematics and its applications ; v. 101.

Subject

• Contact manifolds
• Differential equations, Nonlinear

Bibliography (note)

• Includes bibliographical references (p. 487-492) and index.

Contents

Distributions -- Ordinary differential equations -- Model differential equations and the lie superposition principle -- Linear algebra of symplectic vector spaces -- Exterior algebra on symplectic vector spaces -- A symplectic classification of exterior 2-forms in dimension 4 -- Symplectic classification of exterior 2-forms -- Classification of exterior 3-forms on a six-dimensional symplectic space -- Symplectic manifolds -- Contact manifolds -- Monge-Ampère equations -- Symmetries and contact transformations of Monge-Ampère equations -- Conservation laws -- Monge-Ampère equations on two-dimensional manifolds and geometric structures -- Systems of first-order partial differential equations on two-dimensional manifolds -- Non-linear acoustics -- Non-linear thermal conductivity -- Meteorology applications -- Classification of symplectic MAOs on two-dimensional manifolds -- Classification of symplectic MAEs on two-dimensional manifolds -- Contact classification of MAEs on two-dimensional manifolds -- Symplectic classification of MAEs on three-dimensional manifolds.

ISBN

• 0521824761 (hbk.)
• 9780521824767 (hbk.)

OCLC

60560104

Owning Institutions

Harvard Library