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Nonexistence of local conservation laws for the generalized Swift-Hohenberg equation (2001.05766v1)

Published 16 Jan 2020 in math-ph, math.MP, and nlin.SI

Abstract: We prove that the generalized Swift--Hohenberg equation with nonlinear right-hand side, a natural generalization of the Swift--Hohenberg equation arising in physics and describing inter alia pattern formation, has no nontrivial local conservation laws.

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