Far East Journal of Dynamical Systems
Volume 19, Issue 1, Pages 13 - 24
(May 2012)
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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
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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. |
| Keywords and phrases: projective equation approach, breaking soliton equation, fractal solitons, chaotic behaviors. |
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