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Title
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Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation
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Type
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JournalPaper
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Keywords
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Rational solutions · Lump solutions · Variable-coefficient Kadomtsev–Petviashvili equation · Hirota’s bilinear form
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Abstract
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In this work, a non-isospectral and variablecoefficient Kadomtsev–Petviashvili equation is considered using Hirota’s bilinear form and a direct assumption with arbitrary functions. Analytical rational solutions in light of positive quadratic functions and lump solutions of the variable-coefficient Kadomtsev–Petviashvili equation are obtained. These lump solutions describe two types of characters by some three dimensional graphs and contour plots, which contain bright lump wave and bright–dark lump wave. Mean while, periodic structure of the lump wave is also shown.
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Researchers
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mohammad Mirzazadeh (Fourth Researcher), Hadi Rezazadeh (Third Researcher), Mostafa Eslami (Second Researcher), Jian-Guo Liu (First Researcher)
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