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New lump solutions and several interaction solutions and their dynamics of a generalized(3+1)-dimensional nonlinear differential equation

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In this paper,we mainly focus on proving the existence of lump solutions to a generalized(3+1)-dimensional nonlinear differential equation.Hirota's bilinear method and a quadratic function method are employed to derive the lump solutions localized in the whole plane for a(3+1)-dimensional nonlinear differential equation.Three examples of such a nonlinear equation are presented to investigate the exact expressions of the lump solutions.Moreover,the 3d plots and corresponding density plots of the solutions are given to show the space structures of the lump waves.In addition,the breath-wave solutions and several interaction solutions of the(3+1)-dimensional nonlinear differential equation are obtained and their dynamics are analyzed.

lump solutionsgeneralized(3+1)-dimensional nonlinear differential equationHirota's bilinear methodquadratic function methodinteraction solutions

Yexuan Feng、Zhonglong Zhao

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School of Mathematics,North University of China,Taiyuan,Shanxi 030051,China

国家自然科学基金国家自然科学基金2023 Shanxi Province Graduate Innovation Project19th Graduate Science and Technology Project of North University of China

12101572123712562023KY61420231943

2024

10.1088/1572-9494/ad1a0d

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子：0.333
ISSN：0253-6102
年,卷(期)：2024.76(2)
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