TY - JOUR
T1 - On nonlinear wave equations with breaking loop-solutions
AU - Li, Jibin
AU - Chen, Guanrong
PY - 2010/2
Y1 - 2010/2
N2 - Using analytic methods from the dynamical systems theory, some new nonlinear wave equations are investigated, which have exact explicit parametric representations of breaking loop-solutions under some fixed parameter conditions. It is shown that these parametric representations are associated with some families of open level-curves of traveling wave systems corresponding to such nonlinear wave equations, each of which lies in an area bounded by a singular straight line and the stable and the unstable manifolds of a saddle point of such a system. © 2010 World Scientific Publishing Company.
AB - Using analytic methods from the dynamical systems theory, some new nonlinear wave equations are investigated, which have exact explicit parametric representations of breaking loop-solutions under some fixed parameter conditions. It is shown that these parametric representations are associated with some families of open level-curves of traveling wave systems corresponding to such nonlinear wave equations, each of which lies in an area bounded by a singular straight line and the stable and the unstable manifolds of a saddle point of such a system. © 2010 World Scientific Publishing Company.
KW - Breaking loop-solution
KW - Exact solution
KW - Integrable system
KW - Nonlinear wave equation
KW - Planar system
UR - http://www.scopus.com/inward/record.url?scp=77951550921&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77951550921&origin=recordpage
U2 - 10.1142/S0218127410025582
DO - 10.1142/S0218127410025582
M3 - 21_Publication in refereed journal
VL - 20
SP - 519
EP - 537
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
SN - 0218-1274
IS - 2
ER -