Methods for Constructing Exact Solutions of Partial Differential Equations Mathematical and Analytical Techniques with Applications to Engineering /

• Main Author: Meleshko, S. V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2005.
• Subjects: Engineering.; Differential equations.; Applied mathematics.; Engineering mathematics.; Physics.; Fluid mechanics.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.; Theoretical, Mathematical and Computational Physics.; Engineering Fluid Dynamics.; Ordinary Differential Equations.

Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Each solution of a system of differential equations corresponds to a particular process. Therefore, methods for constructing exact solutions of differential equations play an impor...

Table of Contents:

• Equations with One Dependent Function
• Systems of Equations
• Method of the Degenerate Hodograph
• Method of Differential Constraints
• Invariant and Partially Invariant Solutions
• Symmetries of Equations with Nonlocal Operators
• Symbolic Computer Calculations.