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Yarema A. Prykarpatsky, Ilona Urbaniak, Radoslaw A. Kycia and Anatolij K. Prykarpatski
Based on a devised gradient-holonomic integrability testing algorithm, we analyze a class of dark type nonlinear dynamical systems on spatially one-dimensional functional manifolds possessing hidden symmetry properties and allowing their linearization on...
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Giuseppe Maria Coclite and Lorenzo di Ruvo
High order convective Cahn-Hilliard type equations describe the faceting of a growing surface, or the dynamics of phase transitions in ternary oil-water-surfactant systems. In this paper, we prove the well-posedness of the classical solutions for the Cau...
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Giuseppe Maria Coclite and Lorenzo di Ruvo
The Kuramoto?Sinelshchikov?Velarde equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking into account the combined influence of diffusion and thermal conduction of the...
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