Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields
Articles
Tahira Batool
COMSATS University Islamabad
Aly R. Seadawy
Taibah University
Syed T.R. Rizvi
COMSATS University Islamabad
Published 2023-02-22
https://doi.org/10.15388/namc.2023.28.31449
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Keywords

Pavlov equation
lump and multiwaves
rogue waves
ansatz transformations

How to Cite

Batool, T., Seadawy, A.R. and Rizvi, S.T. (2023) “Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields”, Nonlinear Analysis: Modelling and Control, 28(2), pp. 264–287. doi:10.15388/namc.2023.28.31449.

Abstract

In this article, lump solutions, lump with I-kink, lump with II- kink, periodic, multiwaves, rogue waves and several other interactions such as lump interaction with II-kink, interaction between lump, lump with I-kink and periodic, interaction between lump, lump with II-kink and periodic are derived for Pavlov equation by using appropriate transformations. Additionally, we also present 3-dimensional, 2-dimensional and contour graphs for our solutions.

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