Geometry of conservation laws for a class of parabolic PDE's. II: Normal forms for equations with conservation laws
The author refines her previous classification results [ibid. No. 1, 1-77 (1997; Zbl 0879.35072)] by obtaining normal forms of three-dimensional parabolic Monge-Ampère systems possessing one, two, and four independent conservation laws. Linear systems are characterized by having the parameter space of the space of conservation laws strictly larger than the space of two arbitrary functions of one variable.
three-dimensional parabolic Monge-Ampère systems
scientific article; zbMATH DE number 1185268