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Volume 13, Issue 2
Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model

Wen-Xiu Ma, Sumayah Batwa & Solomon Manukure

East Asian J. Appl. Math., 13 (2023), pp. 246-256.

Published online: 2023-04

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  • Abstract

This paper aims to explore dispersion-managed lump waves in a spatial symmetric KP model. Negative second-order linear dispersive terms play an important role in creating lump waves with the nonlinearity in the model. The starting point is a Hirota bilinear form with an ansatz on quadratic function solutions to the corresponding Hirota bilinear equation. Symbolic computation with Maple is conducted to determine lump waves, and characteristic behaviors are analyzed for the resulting lump wave solutions.

  • AMS Subject Headings

35Q51, 35Q53, 37K40

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-13-246, author = {Ma , Wen-XiuBatwa , Sumayah and Manukure , Solomon}, title = {Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model}, journal = {East Asian Journal on Applied Mathematics}, year = {2023}, volume = {13}, number = {2}, pages = {246--256}, abstract = {

This paper aims to explore dispersion-managed lump waves in a spatial symmetric KP model. Negative second-order linear dispersive terms play an important role in creating lump waves with the nonlinearity in the model. The starting point is a Hirota bilinear form with an ansatz on quadratic function solutions to the corresponding Hirota bilinear equation. Symbolic computation with Maple is conducted to determine lump waves, and characteristic behaviors are analyzed for the resulting lump wave solutions.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.2022-038.180922}, url = {http://global-sci.org/intro/article_detail/eajam/21647.html} }
TY - JOUR T1 - Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model AU - Ma , Wen-Xiu AU - Batwa , Sumayah AU - Manukure , Solomon JO - East Asian Journal on Applied Mathematics VL - 2 SP - 246 EP - 256 PY - 2023 DA - 2023/04 SN - 13 DO - http://doi.org/10.4208/eajam.2022-038.180922 UR - https://global-sci.org/intro/article_detail/eajam/21647.html KW - Soliton, lump wave, Hirota bilinear derivative, symbolic computation, dispersion. AB -

This paper aims to explore dispersion-managed lump waves in a spatial symmetric KP model. Negative second-order linear dispersive terms play an important role in creating lump waves with the nonlinearity in the model. The starting point is a Hirota bilinear form with an ansatz on quadratic function solutions to the corresponding Hirota bilinear equation. Symbolic computation with Maple is conducted to determine lump waves, and characteristic behaviors are analyzed for the resulting lump wave solutions.

Ma , Wen-XiuBatwa , Sumayah and Manukure , Solomon. (2023). Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model. East Asian Journal on Applied Mathematics. 13 (2). 246-256. doi:10.4208/eajam.2022-038.180922
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