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Multiple soliton solutions and other scientific solutions for a new Painlevé integrable fifth-order equation

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  • Wazwaz, Abdul-Majid

Abstract

In this work, we introduce a new Painlevé integrable fifth–order equation. We employ the Painlevé integrability test to examine the compatibility conditions for this newly established system. We use the dispersion relation, the phase shift, and the Hirota’s method to derive multiple soliton solutions for this equation. We also derive several other solutions of distinct physical structures. The obtained results enrich the KdV system and explore valuable analysis for the solitary wave phenomena.

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  • Wazwaz, Abdul-Majid, 2025. "Multiple soliton solutions and other scientific solutions for a new Painlevé integrable fifth-order equation," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925003200
    DOI: 10.1016/j.chaos.2025.116307
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