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Rational and semi-rational solutions for the (3 + 1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation.
- Source :
-
Modern Physics Letters B . 9/10/2019, Vol. 33 Issue 25, pN.PAG-N.PAG. 15p. - Publication Year :
- 2019
-
Abstract
- Nonlinear waves are seen in nature, such as the water waves and plasma waves. Investigated in this paper is a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation. Based on the bilinear method, we get the rational solutions, which are different from the published ones, semi-rational solutions and breather-type kink soliton solutions. Through the rational solutions, we observe two types of waves: the lump waves and line rogue waves. The semi-rational solutions depict two types of interactions: (1) The fusion or fission between the lump wave and soliton; (2) The interaction between the line rogue wave and soliton. During the interaction between the line rogue wave and soliton, the line rogue wave evolves with three different shapes: the bright rogue waves, bright–dark rogue waves and dark rogue waves. Via the breather-type kink soliton solutions, we observe the breather-soliton mixture. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ROGUE waves
*WATER waves
*PLASMA waves
*NONLINEAR waves
*EQUATIONS
*BILINEAR forms
Subjects
Details
- Language :
- English
- ISSN :
- 02179849
- Volume :
- 33
- Issue :
- 25
- Database :
- Academic Search Index
- Journal :
- Modern Physics Letters B
- Publication Type :
- Academic Journal
- Accession number :
- 138596926
- Full Text :
- https://doi.org/10.1142/S0217984919502968