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On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili equation.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Sep2018, Vol. 62, p378-385. 8p. - Publication Year :
- 2018
-
Abstract
- In this paper, a generalized (2+1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili (gCHKP) equation is investigated, which describes the role of dispersion in the formation of patterns in liquid drops. We succinctly construct its bilinear formalism. By further using homoclinic breather limit approach, some exact solutions including breather waves, rogue waves and solitary waves of the equation are well presented. Our results show that rogue waves can come from the extreme behavior of the breather solitary waves for the (2+1)-dimensional gCHKP equation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 62
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 128923350
- Full Text :
- https://doi.org/10.1016/j.cnsns.2018.02.040