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The Nonlinear Beam Equation

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Variational Methods in Nonlinear Field Equations

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

This chapter is devoted to the nonlinear beam equation. In the last years, this equation has been studied by McKenna, Walter and others as a model for suspended bridges. Among the other things, they discovered by numerical simulations the existence of solitary waves. In this chapter we prove that these solitary waves can be considered hylomorphic solitons.

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References

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Benci, V., Fortunato, D. (2014). The Nonlinear Beam Equation. In: Variational Methods in Nonlinear Field Equations. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-06914-2_7

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