Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics /

Bibliographic Details
Main Author: Galaktionov, Victor A. (Author)
Corporate Author: Taylor & Francis
Other Authors: Svirshchevskii, Sergey R.
Format: eBook
Language:English
Published: Boca Raton, FL : Chapman and Hall/CRC, 2007.
Series:Chapman & Hall/CRC applied mathematics and nonlinear science series
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • chapter 1 Linear Invariant Subspaces in Quasilinear Equations: Basic Examples and Models
  • chapter 2 Invariant Subspaces and Modules: Mathematics in One Dimension
  • chapter 3 Parabolic Equations in One Dimension: Thin Film, Kuramoto-Sivashinsky, and Magma Models
  • chapter 4 Odd-Order One-Dimensional Equations: Korteweg-de Vries, Compacton, Nonlinear Dispersion, and Harry Dym Models
  • chapter 5 Quasilinear Wave and Boussinesq Models in One Dimension. Systems of Nonlinear Equations
  • chapter 6 Applications to Nonlinear Partial Differential Equations in IR N
  • chapter 7 Partially Invariant Subspaces, Invariant Sets, and Generalized Separation of Variables
  • chapter 8 Sign-Invariants for Second-Order Parabolic Equations and Exact So- lutions
  • chapter 9 Invariant Subspaces for Discrete Operators, Moving Mesh Methods, and Lattices.