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Volume 11, Issue 3
Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation

Xing Lü, Sijia Chen, Guozhu Liu & Wen-Xiu Ma

East Asian J. Appl. Math., 11 (2021), pp. 594-603.

Published online: 2021-05

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  • Abstract

In this paper, we investigate two dimensionally reduced cases of a new (3+1)-dimensional generalised Kadomtsev-Petviashvili equation. With symbolic computation, lump solutions are derived via searching for positive quadratic function solutions to the associated bilinear equations. Localised characteristics and lump motion are analysed and illustrated as well.

  • AMS Subject Headings

35A25, 35G50, 35Q35, 37K10

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-11-594, author = {Lü , XingChen , SijiaLiu , Guozhu and Ma , Wen-Xiu}, title = {Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {3}, pages = {594--603}, abstract = {

In this paper, we investigate two dimensionally reduced cases of a new (3+1)-dimensional generalised Kadomtsev-Petviashvili equation. With symbolic computation, lump solutions are derived via searching for positive quadratic function solutions to the associated bilinear equations. Localised characteristics and lump motion are analysed and illustrated as well.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.101120.180221}, url = {http://global-sci.org/intro/article_detail/eajam/19143.html} }
TY - JOUR T1 - Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation AU - Lü , Xing AU - Chen , Sijia AU - Liu , Guozhu AU - Ma , Wen-Xiu JO - East Asian Journal on Applied Mathematics VL - 3 SP - 594 EP - 603 PY - 2021 DA - 2021/05 SN - 11 DO - http://doi.org/10.4208/eajam.101120.180221 UR - https://global-sci.org/intro/article_detail/eajam/19143.html KW - Bilinear method, lump dynamics, dimensionally reduced equation, symbolic computation. AB -

In this paper, we investigate two dimensionally reduced cases of a new (3+1)-dimensional generalised Kadomtsev-Petviashvili equation. With symbolic computation, lump solutions are derived via searching for positive quadratic function solutions to the associated bilinear equations. Localised characteristics and lump motion are analysed and illustrated as well.

Xing Lü, Sijia Chen, Guozhu Liu & Wen-Xiu Ma. (2021). Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation. East Asian Journal on Applied Mathematics. 11 (3). 594-603. doi:10.4208/eajam.101120.180221
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