4.5 Article

Mixed lump-solitons, periodic lump and breather soliton solutions for (2+1)-dimensional extended Kadomtsev-Petviashvili dynamical equation

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WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021797921950019X

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Mixed lump-solitons solutions; periodic lump solutions; breathers; Hirota's bilinear form; (2+1)-dimensional extended KP equation

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In this study, based on the Hirota bilinear method, mixed lump-solitons, periodic lump and breather soliton solutions are derived for (2+1)-dimensional extended KP equation with the aid of symbolic computation. Furthermore, dynamics of these solutions are explained with 3d plots and 2d contour plots by taking special choices of the involved parameters. Through the mixed lump-soliton solutions, we observe two fusion phenomena, first from interaction of lump and single soliton and other from interaction of lump with two solitons. In both cases, lump moves gradually towards soliton and transfers energy until it completely merges with the solitons. We also observe new characteristics of periodic lump solutions and kinky breather solitons.

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