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math-ph2021★ 3 cited
On the decoupling problem of general quasilinear first order systems in two independent variables
Matteo Gorgone, Francesco Oliveri, Maria Paola Speciale
The paper deals with the decoupling problem of general quasilinear first order systems in two independent variables. We consider either the case of homogeneous and autonomous syste…
math-ph2021★ 6 cited
Reduction of balance laws in (3+1)--dimensions to autonomous conservation laws by means of equivalence transformations
Matteo Gorgone, Francesco Oliveri, Maria Paola Speciale
A class of partial differential equations (a conservation law and four balance laws), with four independent variables and involving sixteen arbitrary continuously differentiable fu…