Computer-assisted Newton-Kantorovich proofs with rigorous aliasing control establish multiple traveling wave solutions on the infinite strip for the suspension bridge equation and enclose the spectrum to prove orbital stability.
Nonlinearityinoscillatingbridges.Electronic Journal of Differential Equations, 211:1–47
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Existence proofs of traveling wave solutions on an infinite strip for the suspension bridge equation and proof of orbital stability
Computer-assisted Newton-Kantorovich proofs with rigorous aliasing control establish multiple traveling wave solutions on the infinite strip for the suspension bridge equation and enclose the spectrum to prove orbital stability.