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

作者：Kudryashov Nikolai A^*; Sinelshchikov Dmitry I

来源：Applied Mathematics and Computation, 2010, 217(1): 414-421.

DOI：10.1016/j.amc.2010.05.033

• Liquid with gas bubbles
• Nonlinear evolution equation
• Nonlinear ordinary differential equation
• Exact solution
• Simplest equation method

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.

• 出版日期2010-9-1