Mixed Rational-Exponential Solutions to the Kadomtsev-Petviashvili-II Equation with a Self-Consistent Source
Keyword(s):
Explicit rational-exponential solutions for the Kadomtsev-Petviashvili-II equation with a self-consistent source (KPIIESCS) are studied by the Hirota bilinear method. One typical feature for this hybrid type of solutions is that they contain two arbitrary functions of time variable t which affect the amplitudes and propagation trajectories. The dynamics of solutions are demonstrated by the three-dimensional figures. The method used here is quite general and can be applied to other equations with self-content sources.
2019 ◽
Vol 34
(03)
◽
pp. 2050033
◽
2019 ◽
Vol 33
(29)
◽
pp. 1950363
◽
2020 ◽
Vol 34
(12)
◽
pp. 2050117
◽
Keyword(s):
2021 ◽
2017 ◽
Vol 72
(7)
◽
pp. 609-615
◽
Keyword(s):