Title :
Singularities Analysis and Traveling Wave Solutions for Generalized Hyperlastic-Rod Wave Equation
Author :
Cai, Guliang ; Zhang, Zhenzhen ; Wu, Xianbin
Author_Institution :
Nonlinear Sci. Res. Center, Jiangsu Univ., Zhenjiang, China
Abstract :
In the paper, a kind of generalized hyperlastic-rod wave equation is studied. First the equation is transformed into the form of planar dynamic system by a series of transformations. Then the properties of equilibrium points and the orbits corresponding to them are studied by using the bifurcation theory of planar dynamic system. What´s more, topological phase portraits of the system are given. Through its first integral and combining with a new method, traveling wave solutions of the implicit form, index form and triangle function form of the equation are worked out.
Keywords :
bifurcation; elasticity; rods (structures); wave equations; bifurcation theory; equilibrium orbits; equilibrium points; first integral method; generalized hyperlastic rod wave equation; index form; planar dynamic system; singularities analysis; topological phase portraits; traveling wave solutions; triangle function form; Approximation methods; Bifurcation; Educational institutions; Indexes; Integral equations; Propagation; generalized hyperlastic-rod wave equation; planar dynamic system; solutions of the index form;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.50
