Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation

被引：0
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作者：
Jian-Guo Liu
Mostafa Eslami
Hadi Rezazadeh
Mohammad Mirzazadeh
机构：
[1] Jiangxi University of Traditional Chinese Medicine,College of Computer
[2] Beijing University of Posts and Telecommunications,School of science
[3] University of Mazandaran,Department of Mathematics, Faculty of Mathematical Sciences
[4] Amol University of Special Modern Technologies,Faculty of Engineering Technology
[5] University of Guilan,Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan
来源：
Nonlinear Dynamics | 2019年 / 95卷
关键词：
Rational solutions; Lump solutions; Variable-coefficient Kadomtsev–Petviashvili equation; Hirota’s bilinear form;
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摘要：
In this work, a non-isospectral and variable-coefficient 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. Meanwhile, periodic structure of the lump wave is also shown.
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页码：1027 / 1033
页数：6
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