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Breather wave solutions for the Kadomtsev‐Petviashvili equation with variable coefficients in a fluid based on the variable‐coefficient three‐wave approach
Author(s) -
Liu JianGuo,
Zhu WenHui,
Zhou Li
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5899
Subject(s) - breather , variable coefficient , mathematics , variable (mathematics) , kadomtsev–petviashvili equation , mathematical analysis , amplitude , traveling wave , nonlinear system , partial differential equation , characteristic equation , physics , quantum mechanics
Herein, the Kadomtsev‐Petviashvili equation with variable coefficients is investigated, which describes the long waves with small amplitude and slow dependence on the transverse coordinate in a single‐layer shallow fluid. Breather wave solutions are obtained based on a variable‐coefficient three‐wave approach. The dynamical behaviors of the obtained solutions are graphically discussed for different choices of the free parameters in these solutions.