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Localised Nonlinear Wave Interaction in the Generalised Kadomtsev-Petviashvili Equation

Localised Nonlinear Wave Interaction in the Generalised Kadomtsev-Petviashvili Equation
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Year:    2021

Author:    Yaqing Liu, Bo Ren, Deng-Shan Wang

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 301–325

Abstract

The Hirota bilinear scheme and $τ$-function formalism is used in the study of localised nonlinear wave interaction structures generated by the six-soliton solutions of the generalised Kadomtsev-Petviashvili equation. Employing different sets of parameters and the long wave limit method, we consider examples of interaction of various types of waves — viz. line solitons, breathers and lumps. The dynamics of the corresponding interaction is demonstrated graphically to visualise the type of actions. The results obtained may be helpful in understanding the wave propagation in liquids containing gas bubbles.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.290820.261020

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 301–325

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:    Generalised Kadomtsev-Petviashvili equation $τ$-function formalism waves interaction.

Author Details

Yaqing Liu

Bo Ren

Deng-Shan Wang

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