Journal
MATHEMATICS
Volume 10, Issue 15, Pages -Publisher
MDPI
DOI: 10.3390/math10152634
Keywords
Boussinesq-Kadomtsev-Petviashvili equation; variable separation approach; soliton excitations
Categories
Funding
- National Natural Science Foundation of China [11701322]
- Research Fund of Kunming University [YJL18015, YJL20019]
- Natural Science Foundation of Yunnan Provincial Department of Science and Technology [202101BA070001-132, 2019F001-078]
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In this work, we utilize a variable separation approach to derive novel exact solutions for a (2+1)-dimensional Boussinesq-Kadomtsev-Petviashvili equation. By introducing two variable-separated arbitrary functions, we obtain new soliton excitations and localized structures. It is observed that the interaction between two solitons leads to the generation of large amplitude waves.
In this work, we use a variable separation approach to construct some novel exact solutions of a (2+1)-dimensional Boussinesq-Kadomtsev-Petviashvili equation. Thanks to two variable-separated arbitrary functions, some new soliton excitations and localized structures are obtained. It is observed that large amplitude waves are generated in the process of interaction between two solitons.
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