CrossRef Open Access 2023 1 sitasi

Some Soliton Hierarchies Associated with Lie Algebras $$\mathfrak {sp}(4)$$ and $$\mathfrak {so}(5)$$

Baiying He Shiyuan Liu Siyu Gao

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Abstrak

AbstractBased on the symplectic Lie algebra $$\mathfrak {sp}(4)$$ sp ( 4 ) , we obtain two integrable hierarchies of $$\mathfrak {sp}(4)$$ sp ( 4 ) , and by using the trace identity, we give their Hamiltonian structures. Then, we use $$2\times 2$$ 2 × 2 Kronecker product, and construct integrable coupling systems of one soliton equation. Next, we consider two bases of Lie algebra $$\mathfrak {so}(5)$$ so ( 5 ) , and we get the corresponding two integrable hierarchies. Finally, we discuss the relation between the integrable hierarchies of two different bases associated with Lie algebra $$\mathfrak {so}(5)$$ so ( 5 ) .

Penulis (3)

Baiying He

Shiyuan Liu

Siyu Gao

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He, B., Liu, S., Gao, S. (2023). Some Soliton Hierarchies Associated with Lie Algebras $$\mathfrak {sp}(4)$$ and $$\mathfrak {so}(5)$$. https://doi.org/10.1007/s44198-023-00140-6

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Lihat di Sumber doi.org/10.1007/s44198-023-00140-6

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Total Sitasi: 1×
Sumber Database: CrossRef
DOI: 10.1007/s44198-023-00140-6
Akses: Open Access ✓