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Special solutions of a high-order equation for waves in a liquid with gas bubbles

Author:
Kudryashov, Nikolay A.   Sinelshchikov, Dmitry I.  


Journal:
Regular and Chaotic Dynamics


Issue Date:
2014


Abstract(summary):

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 wave solutions are constructed. Connection of self-similar solutions with Painlev, transcendents and their high-order analogs is discussed.


Page:
576-585


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