Journal of Northeastern University Natural Science ›› 2017, Vol. 38 ›› Issue (10): 1516-1520.DOI: 10.12068/j.issn.1005-3026.2017.10.030

• Mathematics • Previous Articles    

Exact Solutions for IBq Equation with Fluid Dynamic Damping

SONG Shu-ni1, FAN Kai2   

  1. 1. School of Sciences, Northeastern University, Shenyang 110819, China; 2. School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China.
  • Received:2016-05-11 Revised:2016-05-11 Online:2017-10-15 Published:2017-10-13
  • Contact: FAN Kai
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Abstract: The IBq equation with fluid dynamic damping was studied. Many studies of exact solutions for Bq equation were found, but the study results of the IBq equations were very few. The standard Tanh method and the extended Tanh method were introduced to solve nonlinear evolution equation, and the standard Tanh method and symbolic computation system Maple were used to obtain a large number of exact hyperbolic function solutions of IBq equation with fluid dynamic damping, mainly for the kink and the antikink soliton solutions. Assignment of exact solutions was done for the unknown parameters, and figures showed some exact solutions, which were useful for verifying the accuracy and stability of numerical solution. The obtained results confirm that the proposed methods are efficient techniques for analytic treatment of a wide variety of nonlinear partial differential equations in mathematical physics.

Key words: Tanh method, extended Tanh method, exact hyperbolic function solutions, IBq equation, fluid dynamic damping

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