含气泡液体中波动的高阶方程的特解
Special solutions of high order equation for waves in liquid with gas bubbles
摘要：
本文考虑一个描述含气泡液体中非线性波的五阶非线性偏微分方程。研究了该方程的特解。构造了椭圆型和简单周期行波解。本文讨论了自相似解与Painleve超越及其高阶相似的关系。
英文摘要：
A fifth--order nonlinear partial differential equation for the description of nonlinear waves in a liquid with gas bubbles is considered. Special solutions of this equation are studied. Some elliptic and simple periodic traveling waves solution are constructed. Connection of self--similar solutions with Painleve transcendents and their high--order analogous is discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
