New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas | Zendy

Jian-Guo Liu | Zendy; Yu Tian | Zendy; Zhi-Fang Zeng | Zendy

Open Access

New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas

Author(s) -

Jian-Guo Liu,

Yu Tian,

Zhi-Fang Zeng

Publication year - 2017

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4999913

Subject(s) - kadomtsev–petviashvili equation , periodic wave , homoclinic orbit , bilinear form , amplitude , physics , bilinear interpolation , mathematical analysis , exact solutions in general relativity , mathematical physics , mathematics , partial differential equation , classical mechanics , traveling wave , quantum mechanics , nonlinear system , burgers' equation , bifurcation , statistics

In this paper, we aim to introduce a new form of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation for the long waves of small amplitude with slow dependence on the transverse coordinate. By using the Hirota’s bilinear form and the extended homoclinic test approach, new exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation are presented. Moreover, the properties and characteristics for these new exact periodic solitary-wave solutions are discussed with some figures

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