Wronskian and grammian solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
Abstract In the paper, a Wronskian condition and a Grammian condition are proposed for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. The conditions guarantee that the N -soliton solutions of the equation can be expressed in the form of Wronskian and Grammian determinants. The proof is conducted with the help of the Plücker relation and the Jacobi identity for determinants. Then under the given linear conditions, some examples of the Wronskian solutions are discussed in detail, such as the rational solutions, N -soliton solutions, negatons and positons.
Authors
- Tao Xu (ORCID: https://orcid.org/0000-0003-4283-1366)
- Ming Wang (ORCID: https://orcid.org/0000-0002-1192-6226)
- Yitong Han
- Guoliang He (ORCID: https://orcid.org/0000-0002-4682-1483)
Institutions
- Zhengzhou University of Light Industry (CN)
Publication Details
- Journal
- Physica Scripta
- Published
- 2025-04-14
- DOI
- https://doi.org/10.1088/1402-4896/adcc69
- Citations
- 2
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 8.18
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Henan Province