On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. a dirichlet boundary value problem
Two-point boundary value problems of Dirichlet type are investigated for a Ermakov-Painlevé II equation which arises out of a reduction of a three-ion electrodiffusion Nernst-Planck model system. In addition, it is shown how Ermakov invariants may be employed to solve a hybrid Ermakov-Painlevé II tr...
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Autores principales: | , |
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Formato: | JOUR |
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10780947_v35_n8_p3277_Amster |
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Sumario: | Two-point boundary value problems of Dirichlet type are investigated for a Ermakov-Painlevé II equation which arises out of a reduction of a three-ion electrodiffusion Nernst-Planck model system. In addition, it is shown how Ermakov invariants may be employed to solve a hybrid Ermakov-Painlevé II triad in terms of a solution of the single component integrable Ermakov-Painlevé II reduction. The latter is related to the classical Painlevé II equation. |
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