TY - CONF A1 - Dennis, L.C.C. A1 - Chew, X. A1 - Lee, Y. PB - American Institute of Physics Inc. SP - 10 KW - Damping; Differential equations; Dispersion (waves) KW - Differential forms; Dispersive waves; Exact solution; Imaginary parts; Momentum equation; Rayleigh; Rupture path; Separation of variables KW - Bifurcation (mathematics) Y1 - 2014/// AV - none CY - Kuala Lumpur VL - 1602 SN - 0094243X TI - Bifurcation of rupture path by linear and cubic damping force N1 - cited By 0; Conference of 3rd International Conference on Mathematical Sciences, ICMS 2013 ; Conference Date: 17 December 2013 Through 19 December 2013; Conference Code:106205 ID - scholars5145 N2 - Bifurcation of rupture path is studied for the effect of linear and cubic damping. Momentum equation with Rayleigh factor was transformed into ordinary differential form. Bernoulli differential equation was obtained and solved by the separation of variables. Analytical or exact solutions yielded the bifurcation was visible at imaginary part when the wave was non dispersive. For the dispersive wave, bifurcation of rupture path was invisible. © 2014 AIP Publishing LLC. UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904124746&doi=10.1063%2f1.4882459&partnerID=40&md5=80fa69190b3619654dfea976553b812d EP - 14 ER -