A lower bound for the amplitude of traveling waves of suspension bridges
  We obtain a lower bound for the amplitude of nonzero homoclinic traveling wave solutions of the McKenna--Walter suspension bridge model. As a consequence of our lower bound, all nonzero homoclinic traveling waves become unbounded as their speed of propagation goes to zero (in accordance with numerical observations). 
Paschalis Karageorgis and John Stalker
math.AP