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Exact solutions of a quintic dispersive equation

Author

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  • Iqbal, Anjum
  • Naeem, Imran

Abstract

We present novel exact solutions for a class of Rosenau’s quintic dispersive equations. The variational derivative approach is employed to construct conservation laws for a slightly generalized version of the quintic equation. The double reduction theory, based on the association of symmetries and conservation laws, is utilized to obtain a fourth-order nonlinear ODE, which is then solved to compute exact solutions of the quintic equation. In particular, the G′G-expansion method for the reduced fourth-order nonlinear ODE is applied to construct new exact solutions of the quintic PDE with a cubic nonlinearity.

Suggested Citation

  • Iqbal, Anjum & Naeem, Imran, 2022. "Exact solutions of a quintic dispersive equation," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922010712
    DOI: 10.1016/j.chaos.2022.112892
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    References listed on IDEAS

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    1. María S. Bruzón & Rafael de la Rosa & María L. Gandarias & Rita Tracinà, 2022. "Reductions and Conservation Laws of a Generalized Third-Order PDE via Multi-Reduction Method," Mathematics, MDPI, vol. 10(6), pages 1-13, March.
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