A class of nonlinear vector fields on infinite-dimensional manifolds is introduced, such that the corresponding nonlinear partial differential equations are solvable by a generalization of the method of variation of constants. This method also characterizes these equations, and it can be used to construct sufficiently many conserved densities to solve them explicitly.
Nonlinear PDE's and recursive flows: theory / Benno, Fuchssteiner; LO SCHIAVO, Mauro. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 6:1(1993), pp. 97-100. [10.1016/0893-9659(93)90157-i]
Nonlinear PDE's and recursive flows: theory
LO SCHIAVO, Mauro
1993
Abstract
A class of nonlinear vector fields on infinite-dimensional manifolds is introduced, such that the corresponding nonlinear partial differential equations are solvable by a generalization of the method of variation of constants. This method also characterizes these equations, and it can be used to construct sufficiently many conserved densities to solve them explicitly.File allegati a questo prodotto
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