Title :
On the Solitary Wave and Periodic Wave Solutions of the Nonlinear Drift-Wave Equation Arising from Magnetized Plasmas
Author_Institution :
Sch. of Math., Yunnan Normal Univ., Kunming, China
Abstract :
In this paper, solitary wave and periodic wave solutions of the nonlinear drift-wave equation arising from magnetized plasmas are investigated based on the steady bifurcation and energy integral of the conservative dynamical system satisfied by the traveling waves. Conditions for the existence of solitary waves and periodic waves are given in terms of a bifurcation control parameter and the initial energy. Simplified formulations are obtained for the periodic wave solutions by developing an approximate method.
Keywords :
bifurcation; nonlinear dynamical systems; nonlinear equations; solitons; wave equations; bifurcation control parameter; conservative dynamical system; energy integral; magnetized plasmas; nonlinear drift-wave equation; periodic wave solution; solitary wave solution; traveling waves; Bifurcation; Chaos; Educational institutions; Mathematical model; Propagation; Solitons; bifurcation; nonlinear drift-wave equation; periodic wave; solitary waves;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.47