From Laurent Series to Exact Meromorphic Solutions: the Kawahara equation

Details From Laurent Series to Exact Meromorphic Solutions: the Kawahara equation From Laurent Series to Exact Meromorphic Solutions: the Kawahara equation

2011-12-22

arxiv.org/abs/1112.5266v1

Physics Letters A, Volume 374, Issue 39, 30 August 2010, Pages 4023-4029

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages

Scientific paper

10.1016/j.physleta.2010.08.013

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.

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