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doi:10.1007/s11464-021-0918-5

Front. Math. China

2022, Vol. 17

Issue (5) : 943-960 https://doi.org/10.1007/s11464-021-0918-5

RESEARCH ARTICLE

General M-lump, high-order breather, and localized interaction solutions to

(2 + 1)

-dimensional generalized Bogoyavlensky-Konopelchenko equation

Hongcai MA^1,²(

), Yunxiang BAI¹, Aiping DENG^1,²

¹. Department of Applied Mathematics, Donghua University, Shanghai 201620, China
². Institute for Nonlinear Sciences, Donghua University, Shanghai 201620, China

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Abstract

The $(2 + 1)$ -dimensional generalized Bogoyavlensky-Konopelchenko equation is a significant physical model. By using the long wave limit method and confining the conjugation conditions on the interrelated solitons, the general M-lump, high-order breather, and localized interaction hybrid solutions are investigated, respectively. Then we implement the numerical simulations to research their dynamical behaviors, which indicate that different parameters have very different dynamic properties and propagation modes of the waves. The method involved can be validly employed to get high-order waves and study their propagation phenomena of many nonlinear equations.

Keywords Bogoyavlensky-Konopelchenko equation long wave limit M-lump solution hybrid solution

Corresponding Author(s): Hongcai MA

Issue Date: 28 December 2022

Cite this article:

Hongcai MA,Yunxiang BAI,Aiping DENG. General M-lump, high-order breather, and localized interaction solutions to

(2 + 1)

-dimensional generalized Bogoyavlensky-Konopelchenko equation[J]. Front. Math. China, 2022, 17(5): 943-960.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0918-5
https://academic.hep.com.cn/fmc/EN/Y2022/V17/I5/943

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