New Exact Solution and Novel Time Solitons for the Dissipative Zabolotskaya-Khokhlov Equation from Nonlinear Acoustics

摘要

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.

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