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New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein–Gordon equations

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  • Inc, Mustafa

Abstract

The special exact solutions of the modified nonlinearly Klein–Gordon-type equations mKG(m,n,k) are investigated by using some ansatze. Thus, we obtain new soliton solutions with compact support and solitary pattern solutions having infinite slopes or cusps, solitary wave and periodic solutions are obtained. The properties of the mKG(m,n,k) equations are shown in some figures.

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  • Inc, Mustafa, 2007. "New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1275-1284.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:4:p:1275-1284
    DOI: 10.1016/j.chaos.2006.01.083
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    Cited by:

    1. Alphonse, Houwe & Djorwe, Philippe & Abbagari, Souleymanou & Doka, Serge Yamigno & Nana Engo, S.G., 2022. "Discrete solitons in nonlinear optomechanical array," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Akram, Ghazala & Sadaf, Maasoomah & Zainab, Iqra, 2022. "Observations of fractional effects of β-derivative and M-truncated derivative for space time fractional Phi-4 equation via two analytical techniques," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Akbar, Yasir & Afsar, Haleem & Al-Mubaddel, Fahad S & Abu-Hamdeh, Nidal H. & Abusorrah, Abdullah M., 2021. "On the solitary wave solution of the viscosity capillarity van der Waals p-system along with Painleve analysis," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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