Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
The analysis of the title problem is based on a set of highly nonlinear coupled equations depending on the longitudinal coordinate and time. The main progress is made by the study of the following particular cases: the linearized case which provides the existence of travelling waves of arbitrary shape, the finite-amplitude long-wave case, the far-field solution, and the finite-amplitude finite-wavelength case.
scientific article; zbMATH DE number 1143237
scientific article