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Exact Solutions and Localized Excitations of Burgers System in (3+++1) Dimensions

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Exact Solutions and Localized Excitations of Burgers System in (3 + + + 1) Dimensions

Chun-Long Zhengaand Hai-Ping Zhub

aSchool of Physics and Electromechanical Engineering, Shaoguan University, Shaoguan, Guangdong 512005, China

bCollege of Mathematics and Physics, Zhejiang Lishui University, Lishui, Zhejiang 323000, China

Reprint requests to C.-L. Z.; E-mail:zjclzheng@yahoo.com.cn

Z. Naturforsch.66a,383 – 391 (2011); received August 26, 2010 / revised January 19, 2011 With the help of a Cole-Hopf transformation, the nonlinear Burgers system in (3+1) dimensions is reduced to a linear system. Then by means of the linear superposition theorem, a general variable separation solution to the Burgers system is obtained. Finally, based on the derived solution, a new type of localized structure, i.e., a solitonic bubble is revealed and some evolutional properties of the novel localized structure are briefly discussed.

Key words:Cole-Hopf Transformation; (3+1)-Dimensional Burgers System; Solitonic Bubble;

Evolutional Behaviour.

PACS numbers:03.65.Ge; 05.45.Yv

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