TY - JOUR
T1 - Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials
AU - Dai, Hui-Hui
AU - Kong, De-Xing
PY - 2001/10/29
Y1 - 2001/10/29
N2 - In this Letter, the authors introduce the concepts of nonlinear degree and partial stability for quasilinear hyperbolic systems and then prove a necessary and sufficient condition for the solution stability. An application to the system for plane elastic waves in some classical hyperelastic materials is given. For this kind of systems, some important traveling wave solutions are obtained. © 2001 Elsevier Science B.V. All rights reserved.
AB - In this Letter, the authors introduce the concepts of nonlinear degree and partial stability for quasilinear hyperbolic systems and then prove a necessary and sufficient condition for the solution stability. An application to the system for plane elastic waves in some classical hyperelastic materials is given. For this kind of systems, some important traveling wave solutions are obtained. © 2001 Elsevier Science B.V. All rights reserved.
KW - Hyperelastic materials
KW - Nonlinear degree
KW - Partial stability
KW - Plane elastic wave
KW - Quasilinear hyperbolic system
UR - http://www.scopus.com/inward/record.url?scp=18344403626&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-18344403626&origin=recordpage
U2 - 10.1016/S0375-9601(01)00629-6
DO - 10.1016/S0375-9601(01)00629-6
M3 - 21_Publication in refereed journal
VL - 289
SP - 313
EP - 322
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 6
ER -