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AFRICAN RESEARCH NEXUS

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physics and astronomy

Construction of lump-Type and interaction solutions to an extended (3 + 1)-dimensional Jimbo-Miwa-like equation

Modern Physics Letters B, Volume 34, No. 13, Article 2050130, Year 2020

We present lump-Type solutions and interaction solutions to an extended (3+1)-dimensional Jimbo-Miwa-like equation. Three classes of lump-Type solutions are obtained by the Hirota bilinear method. Interaction solutions are among lump-Type solutions, two kink waves and periodic waves, and between two kink waves and a periodic wave are computed. Dynamical characters of the obtained solutions are graphically exhibited. These wave solutions enrich the dynamical theory of higher-dimensional nonlinear dispersive wave equations.
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