CrossRef Open Access 2025 2 sitasi

N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited

Sandra Carillo Mauro Lo Schiavo Cornelia Schiebold

Abstrak

ABSTRACTIn this article, a general solution formula is derived for the ‐matrix modified Korteweg–de Vries equation. Then, a solution class corresponding to special parameter choices is examined in detail. Roughly, this class can be described as ‐solitons (in the sense of Goncharenko) with common phase matrix. It turns out that such a solution even takes values in a commutative subalgebra of the ‐matrices. We arrive at a rich picture of possibilities for generalized 1‐solitons and at visual patterns of ‐solitons which combine nonlinear with linear features. The impact of the phase matrix is visualized in computer plots.

Penulis (3)

Sandra Carillo

Mauro Lo Schiavo

Cornelia Schiebold

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Carillo, S., Schiavo, M.L., Schiebold, C. (2025). N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited. https://doi.org/10.1111/sapm.70061

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Total Sitasi: 2×
Sumber Database: CrossRef
DOI: 10.1111/sapm.70061
Akses: Open Access ✓