A B C
Z. Naturforsch. 67a, 601 – 607 (2012)
doi:10.5560/ZNA.2011-0063
New Exact Solution and Novel Time Solitons for the Dissipative Zabolotskaya–Khokhlov Equation from Nonlinear Acoustics
Bang-Qing Li1,3, Su Li1, and Yu-Lan Ma2
1 School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China
2 School of Science, Beijing Technology and Business University, Beijing 100048, China
3 School of Mechanical Electronic and Information Engineering, China University of Mining and Technology, Beijing 100083, China
Received February 21, 2012 / revised June 11, 2012 / published online August 20, 2012
Reprint requests to: B.-Q. L.; Tel: +086–10–13126896428, Fax: +86–10–81353202, E-mail: libq@th.btbu.edu.cn
Under investigation in this paper is the dissipative Zabolotskaya–Khokhlov equation from nonlinear acoustics. Through extending a symbolic computation algorithm, namely, the (G′/G)-expansion method, a new type of exact solution with variable separation is constructed for the equation. The solution is more general because two arbitrary functions are involved with regard to the time variable. Some novel time solitons are observed by appropriately choosing the arbitrary functions at special cases.
Key words: Dissipative Zabolotskaya–Khokhlov Equation; Symbolic Computation Algorithm; Generalized Travelling Wave Solution; Exact Solution; Time Soliton.
PACS numbers: 02.30.Jr; 05.45.Yv; 03.65.Ge
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