Accession Number : AD0715785

Title :   Nonlinear Field Theories and Structural Stability.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Bisshopp,Frederic

Report Date : OCT 1970

Pagination or Media Count : 17

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)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NONLINEAR DIFFERENTIAL EQUATIONS), (*FIELD THEORY, NONLINEAR SYSTEMS), ALGEBRAIC GEOMETRY, GROUPS(MATHEMATICS), ELEMENTARY PARTICLES

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE