General M-lump, high-order breather, and localized interaction solutions to (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation

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...

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Bibliographic Details
Published in:Frontiers of Mathematics 2022, Vol.17 (5), p.943-960
Main Authors: Ma, Hongcai, Bai, Yunxiang, Deng, Aiping
Format: Article
Language:English
Subjects:
Breathers
Conjugation
Mathematical models
Mathematics
Mathematics and Statistics
Nonlinear equations
Propagation modes
Research Article
Solitary waves
Wave propagation
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Summary: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.
ISSN:2731-8648
1673-3452
2731-8656
1673-3576
DOI:10.1007/s11464-021-0918-5