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Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation

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Abstract

In present work, new form of generalized fifth-order nonlinear integrable equation has been investigated by locating movable critical points with aid of Painlevé analysis and it has been found that this equation passes Painlevé test for \(\alpha =\beta \) 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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Authors and Affiliations

  1. Department of Mathematics, Jaypee Institute of Information Technology, Noida, UP, India

    Lakhveer Kaur

  2. Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

    Abdul-Majid Wazwaz

Authors
  1. Lakhveer Kaur
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  2. Abdul-Majid Wazwaz
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Correspondence to Lakhveer Kaur.

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Kaur, L., Wazwaz, AM. Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation. Nonlinear Dyn 94, 2469–2477 (2018). https://doi.org/10.1007/s11071-018-4503-8

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  • DOI: https://doi.org/10.1007/s11071-018-4503-8

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