Hh. Dai et Dx. Kong, Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials, PHYS LETT A, 289(6), 2001, pp. 313-322
In this Letter, the authors introduce the concepts of nonlinear degree and
partial stability for quasilinear hyperbolic systems and then prove a neces
sary and sufficient condition for the solution stability. An application to
the system for plane elastic waves in some classical hyperelastic material
s is given. For this kind of systems, some important traveling wave solutio
ns are obtained. (C) 2001 Elsevier Science B.V. All rights reserved.