Exact solutions of a quintic dispersive equation

Anjum Iqbal and Imran Naeem

Chaos, Solitons & Fractals, 2022, vol. 165, issue P1

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.

Keywords: Conservation laws; Quintic equation; Double reduction theory; Exact solutions (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p1:s0960077922010712

DOI: 10.1016/j.chaos.2022.112892

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