Differential geometry techniques for sets of nonlinear partial differential equationsAn attempt is made to show that the Cartan theory of partial differential equations can be a useful technique for applied mathematics. Techniques for finding consistent subfamilies of solutions that are generically rich and well-posed and for introducing potentials or other usefully consistent auxiliary fields are introduced. An extended sample calculation involving the Korteweg-de Vries equation is given.
Estabrook, Frank B. (JPL Pasadena, CA, United States)