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

Abstract

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. 2010 Elsevier Inc. All rights reserved.

DOI: 10.1016/j.amc.2010.05.033

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Cite this paper

@article{Kudryashov2010NonlinearEE, title={Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration}, author={Nikolai A. Kudryashov and Dmitry I. Sinelshchikov}, journal={Applied Mathematics and Computation}, year={2010}, volume={217}, pages={414-421} }