On solving the (3+1)-dimensional NLEQZK equation and the (3+1)-dimensional NLmZK equation using the extended simplest equation method. (English) Zbl 1443.35144
Summary: The extended simplest equation method is employed in this article to construct many solitons and other solutions for two nonlinear partial differential equations (PDEs), namely the (3+1)-dimensional nonlinear extended quantum Zakharov-Kuznetsov (NLEQZK) equation and the (3+1)-dimensional nonlinear modified Zakharov-Kuznetsov (NLmZK) equation which play an important role in mathematical physics. The first equation is performed in quantum electron-positron-ion magnetoplasmas, while the second equation governs the behavior of weakly nonlinear ion-acoustic waves in a plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic field. Comparison of our new results obtained in this article for the two considered models with the other well-known results is also provided.
Keywords:
extended simplest equation method; extended quantum ZK equation; modified ZK equation; solitons and other solutionsReferences:
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