From Laurent Series to Exact Meromorphic Solutions: the Kawahara equation
Exactly Solvable and Integrable Systems
2011-12-23 v1
Abstract
Nonlinear waves are studied in a mixture of liquid and gas bubbles. Influence of viscosity and heat transfer is taken into consideration on propagation of the pressure waves. Nonlinear evolution equations of the second and the third order for describing nonlinear waves in gas-liquid mixtures are derived. Exact solutions of these nonlinear evolution equations are found. Properties of nonlinear waves in a liquid with gas bubbles are discussed.
Cite
@article{arxiv.1112.5266,
title = {From Laurent Series to Exact Meromorphic Solutions: the Kawahara equation},
author = {Maria V. Demina and Nikolay A. Kudryashov},
journal= {arXiv preprint arXiv:1112.5266},
year = {2011}
}
Comments
19 pages