On solutions of generalized modified Korteweg–de Vries equation of the fifth order with dissipation

The generalized modified Korteweg–de Vries equation of the fifth order with dissipation is considered. The Painlevé test is applied for studying integrability of this equation. It is shown that the generalized modified Korteweg–de Vries equation of the fifth order does not pass the Painlevé test in...

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Veröffentlicht in:	Applied mathematics and computation 2016-04, Vol.280, p.39-45
1. Verfasser:	Kudryashov, Nikolay A
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations Dissipation Elliptic solution Exact solution Exact solutions Integral equations Korteweg–de Vries equation of the fifth order Mathematical analysis Mathematical models Nonlinearity Painlevé property Painlevé test Solitary waves
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