Аннотация:
This paper extends, to a class of systems of semi-linear hyperbolic second order PDEs in three variables, the geometric study of a single nonlinear hyperbolic PDE in the plane as presented in [Anderson I.M., Kamran N., Duke Math. J.87 (1997), 265–319]. The constrained variational bi-complex is introduced and used to define form-valued conservation laws. A method for generating conservation laws from solutions to the adjoint of the linearized system associated to a system of PDEs is given. Finally, Darboux integrability for a system of three equations is discussed and a method for generating infinitely many conservation laws for such systems is described.
Образец цитирования:
Sara Froehlich, “The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables”, SIGMA, 14 (2018), 096, 49 pp.
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\by Sara~Froehlich
\paper The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables
\jour SIGMA
\yr 2018
\vol 14
\papernumber 096
\totalpages 49
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\crossref{https://doi.org/10.3842/SIGMA.2018.096}
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Цитирование в формате AMSBIB
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