Lump-Type Solutions, Mixed Solutions and Rogue Waves for a (3+1)-Dimensional Variable-Coefficients Burgers Equation

In this work, we consider the (3+1)-dimensional Burgers equation with variable coefficients, which is frequently used to define the motion of solitary waves. Abundant lump waves are constructed by taking the ansatz as a rational function. Furthermore, mixed solutions utilizing lump waves, rogue wave...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 16; no. 7; p. 779
Main Authors Wu, Jianwen, Cai, Yuejin, Cheng, Xueping
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2024
Subjects
Burgers equation
Exponential functions
lump soliton solutions
lump solutions
Nonlinear equations
Plasma physics
Rational functions
rogue waves
Solitary waves
variable-coefficients Burgers equation
Water waves
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Summary:In this work, we consider the (3+1)-dimensional Burgers equation with variable coefficients, which is frequently used to define the motion of solitary waves. Abundant lump waves are constructed by taking the ansatz as a rational function. Furthermore, mixed solutions utilizing lump waves, rogue waves, and kink solitons are obtained by combining the rational function with an exponential function, resulting in fission and fusion phenomena.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16070779