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Far East Journal of Dynamical Systems

Far East Journal of Dynamical Systems
Volume 19, Issue 1, Pages 13 - 24 (May 2012)

STUDY OF THE FRACTAL SOLITONS AND CHAOTIC BEHAVIORS FOR A -DIMENSIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATION
Xiao-Xin Zhu, Song-Hua Ma, Qing-Bao Ren and Jian-Ping Fang

Abstract:

By the projective equation approach and a variable separation method, a series of variable separation solutions to the -dimensional breaking soliton equation is derived. Based on the derived solitary wave excitation, some dromion excitations, fractal solitons and chaotic behaviors are investigated.