- Lax , P. D. 1957 . Hyperbolic systems of conservation laws II . Comm. Pure Appl.Math. , 10 : 537 – 566 .
- Boillat , G. 1965 . La propagation des ondes , Paris : Gauthier-Villars .
- Boillat , G. 1968 . Le champ scalaire de Monge-Ampkre. . Det. Kgl. Norske Vid. Selsk. Forth. , 41 : 78 – 81 .
- Ruggeri , T. 1973 . Su una naturale estensione a tre variabili dell'equazione di Monge-AmpBre. . Rend. Acc. Naz. Lincei , 55 : 445 – 449 .
- Donato , A. , Ramgulam , U. and Rogers , C. 1992 . The (3+1)-dimensional Monge-AmpBre equation in discontinuity wave theory . application of a reciprocal transformation Meccanica , 27 : 257 – 262 .
- Boillat , G. 1992 . Sur l'equation generale de Monge-Ampere d'order superieur . C. R. Acad. Sci. Paris, Ser. I , 315 : 1211 – 1214 .
- Rogers , C. and Ames , W. 1989 . Nonlinear boundary value problems in science and engineering , New York : Academic Press .
- Jeffrey , A. 1976 . “ Quasilinear hyperbolic systems and waves ” . In Res. Notes Math , Vol. 5 , London : Pitman .
- Jeffrey , A. and Donato , A. 1979 . The occurrence of singularities in solutions of homogeneous systems of two first order quasilinear hyperbolic equations with smooth initial data . Wave Motion , 1 : 177 – 185 .
- Donato , A. and Fusco , D. 1980 . Some applications of the Riemann method to electromagnetic wave propagation in nonlinear media . ZAMM , 60 : 539 – 542 .
- Boillat , G. and Ruggeri , T. 1978 . Characteristic shocks. Completely and strictly exceptional systems . Boll. Un. Mat. Ital , A15 : 197 – 204 .
- Varley , E. and Seymour , B. 1985 . Exact solutions for large amplitude waves in dispersive and dissipative systems . Stud. Appl. Math , 72 : 241 – 262 .
- Bluman , G. W. 1993 . Use and construction of potential symmetries . Math. and Computer Modelling , 18 : 1 – 14 .
- Donato , A. and Oliveri , F. 1994 . Linearization procedure of nonlinear first order systems of PDE's by means of canonical variables related to Lie groups of point transformations. . J. Math. Anal. Appl. , in press
- Crupi , G. and Donato , A. 1978 . Su una classe di equazioni conservative ed iperboliche completamente eccezionali e compatibili con una legge di conservazione supplementare . Rend. Acc. Naz. Lincei , 65 : 120 – 127 .
Linearization of completely exceptional second order hyperbolic conservative equations
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