Kink degeneracy and rogue potential flow for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation | Zendy

Hanlin Chen | Zendy; Zhenhui Xu | Zendy; Zhengde Dai | Zendy

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Kink degeneracy and rogue potential flow for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

Author(s) -

Hanlin Chen,

Zhenhui Xu,

Zhengde Dai

Publication year - 2016

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci16s3919c

Subject(s) - breather , homoclinic orbit , rogue wave , soliton , limit (mathematics) , physics , degeneracy (biology) , type (biology) , flow (mathematics) , mathematical physics , classical mechanics , nonlinear system , mathematical analysis , mathematics , quantum mechanics , mechanics , bifurcation , bioinformatics , ecology , biology

The breather-type kink soliton, breather-type periodic soliton solutions and rogue potential flow for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation are obtained by using the extended homoclinic test technique and homoclinic breather limit method, respectively. Furthermore, some new non-linear phenomena, such as kink and periodic degeneracy, are investigated and the new rational breather solutions are found out. Meanwhile, we also obtained the rational potential solution and it is just a rogue wave. These results enrich the variety of the dynamics of higher-dimensional non-linear wave field

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