Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898849 | Journal of Geometry and Physics | 2008 | 15 Pages |
Abstract
A large family of linear, usually overdetermined, systems of partial differential equations that admit a multiplication of solutions, i.e, a bi-linear and commutative mapping on the solution space, is studied. This family of PDE’s contains the Cauchy–Riemann equations and the cofactor pair systems, included as special cases. The multiplication provides a method for generating, in a pure algebraic way, large classes of non-trivial solutions that can be constructed by forming convergent power series of trivial solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jens Jonasson,