Special solutions of high order equation for waves in liquid with gas bubbles
arXiv:1409.6700 · doi:10.1134/S1560354714050050
Abstract
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.
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