Nonlinear Field Theories and Structural Stability.
Abstract
The concept of structural stability has been recognized to be of great importance in the theory of qualitative behavior of the solutions of ordinary differential equations. Some of the techniques that have been used there can be employed in the discussion of certain inherent structural properties of partial differential equations, and in terms of such structural properties one can begin to sense the possibility of discovering a morphology of nonlinear field theories. The ideas involved are discussed here in terms of two particularly simple examples, a nonlinear generalization of the scalar wave equation and a similar nonlinear generalization of Maxwell's equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1970
- Accession Number
- AD0715785
Entities
People
- Frederic Bisshopp
Organizations
- Brown University