A lower bound for the amplitude of traveling waves of suspension bridges (Q435106)

The authors study the McKenna-Walter suspension bridge model NEWLINE\[NEWLINEu_{tt}+u_{xxxx}+f(u)=0. \tag{1}NEWLINE\]NEWLINE Under suitable conditions on the term \(f\), they obtain a lower bound for the amplitude of nonzero homoclinic traveling wave solutions of \((1)\). As a consequence of this lower bound, they prove that all nonzero homoclinic traveling waves become unbounded as their speed of propagation goes to zero.