Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration

Details Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration

2011-12-22

arxiv.org/abs/1112.5450v1

Applied Mathematics and Computation, 2010, Volume 217, Issue 1, Pages 414-421

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1016/j.amc.2010.05.033

Nonlinear evolution equations of the fourth order and its partial cases are derived for describing nonlinear pressure waves in a mixture liquid and gas bubbles. Influence of viscosity and heat transfer is taken into account. Exact solutions of nonlinear evolution equation of the fourth order are found by means of the simplest equation method. Properties of nonlinear waves in a liquid with gas bubbles are discussed.

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