RATIONAL AND INTERACTIVE SOLUTIONS TO THE B-TYPE KADOMTSEV-PETVIASHVILI EQUATION

Yuan Zhou; Solomon Manukure

doi:10.11948/20200446

2021 Volume 11 Issue 5

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Yuan Zhou, Solomon Manukure. RATIONAL AND INTERACTIVE SOLUTIONS TO THE B-TYPE KADOMTSEV-PETVIASHVILI EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2473-2490. doi: 10.11948/20200446

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Yuan Zhou, Solomon Manukure. RATIONAL AND INTERACTIVE SOLUTIONS TO THE B-TYPE KADOMTSEV-PETVIASHVILI EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2473-2490. doi: 10.11948/20200446

RATIONAL AND INTERACTIVE SOLUTIONS TO THE B-TYPE KADOMTSEV-PETVIASHVILI EQUATION

Yuan Zhou^1, ,,
Solomon Manukure²

1.
School of Business, Xianda College of Economics and Humanities Shanghai International Studies University, 390 Dongtiyuhui Road, 200083 Shanghai, China
2.
Department of Mathematics, Florida Agricultural and Mechanical University, 1617 S Martin Luther King Jr. Blvd, 32307 Tallahassee, USA

Corresponding author: Email: myzhou2011@sina.com (Y. Zhou)

Abstract

Abstract

In this paper, a new method to find quadratic function solutions to bilinear forms is proposed. By applying the Hirota direct method, we construct some important exact solutions to the B-type Kadomtsev-Petviashvili (BKP) equation of fourth-order. Solitons, rational solutions, lump solutions and interaction solutions are presented with the help of symbolic computations. The dynamics of some selected solutions are also studied with the aid of 3D plots.
- Hirota method /
- the BKP equation /
- lump solutions /
- lump-kink solutions
MSC: 35A25, 37K10

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References

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