Journal
COMMUNICATIONS IN THEORETICAL PHYSICS
Volume 72, Issue 11, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1572-9494/aba241
Keywords
fluid dynamics; plasma physics; generalized (3+1)-dimensional Kadomtsev– Petviashvili equation; solitons; periodic waves
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Funding
- National Natural Science Foundation of China [11 272 023]
- Fundamental Research Funds for the Central Universities [50 100 002 016 105 010]
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Under investigation in this paper is a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics and plasma physics. Soliton and one-periodic-wave solutions are obtained via the Hirota bilinear method and Hirota-Riemann method. Magnitude and velocity of the one soliton are derived. Graphs are presented to discuss the solitons and one-periodic waves: the coefficients in the equation can determine the velocity components of the one soliton, but cannot alter the soliton magnitude; the interaction between the two solitons is elastic; the coefficients in the equation can influence the periods and velocities of the periodic waves. Relation between the one-soliton solution and one-periodic wave solution is investigated.
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