期刊
NONLINEAR DYNAMICS
卷 94, 期 4, 页码 2469-2477出版社
SPRINGER
DOI: 10.1007/s11071-018-4503-8
关键词
Generalized fifth-order nonlinear integrable equation; Painleve analysis; Lie symmetry analysis; Invariant solutions; Generalized (G'/G) expansion method
In present work, new form of generalized fifth-order nonlinear integrable equation has been investigated by locating movable critical points with aid of Painleve analysis and it has been found that this equation passes Painleve test for which implies affirmation toward the complete integrability. Lie symmetry analysis is implemented to obtain the infinitesimals of the group of transformations of underlying equation, which has been further pre-owned to furnish reduced ordinary differential equations. These are then used to establish new abundant exact group-invariant solutions involving various arbitrary constants in a uniform manner.
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