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Solitary pattern solutions for fractional Zakharov-Kuznetsov equations with fully nonlinear dispersion. (English) Zbl 1241.35215
Summary: The fractional Zakharov-Kuznetsov equations are increasingly used in modeling various kinds of weakly nonlinear ion acoustic waves in a plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic field. This has led to a significant interest in the study of these equations. In this work, solitary pattern solutions of fractional Zakharov-Kuznetsov equations are investigated by means of the homotopy perturbation method with consideration of Jumarie’s derivatives. The effects of fractional derivatives for the systems under consideration are discussed. Numerical results and a comparison with exact solutions are presented.
MSC:
 35R11 Fractional partial differential equations 35Q74 PDEs in connection with mechanics of deformable solids 65Z05 Applications of numerical analysis to physics
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