Donato, Andrea and Palumbo, Annunziata (2000) On some first order systems reducible to monge-ampere equations and their linearization. Memorie scientifiche di Andrea Donato, LXXVII. pp. 493-505.
We consider systems of equations in one space dimension in conservative form which can be reduce, with the aid of suitable potentials, to second order or third order monge-ampere equations. Under special cirumstances these equations may be linearized by means of backlund type trasformations. Fluid-dynamic,magnetogasdynamic and continuum models with rate-type costitutive laws belong to these classes of linearizable systems when suitable conditions are satisfated
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