Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions
This paper applies a pair of identical group reductions or similarity transformations to formulate integrable models. An application to the Ablowitz–Kaup–Newell–Segur (AKNS) matrix spectral problems leads to reduced matrix modified Korteweg–de Vries (mKdV) integrable hierarchies. In particular, seve...
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2025-04-01
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| author | Wen-Xiu Ma |
| author_facet | Wen-Xiu Ma |
| author_sort | Wen-Xiu Ma |
| collection | DOAJ |
| description | This paper applies a pair of identical group reductions or similarity transformations to formulate integrable models. An application to the Ablowitz–Kaup–Newell–Segur (AKNS) matrix spectral problems leads to reduced matrix modified Korteweg–de Vries (mKdV) integrable hierarchies. In particular, several illustrative examples of reduced matrix mKdV integrable models are derived from the reduced AKNS matrix spectral problems. |
| format | Article |
| id | doaj-art-1ab49f34c6bd4672bb500fb8090d4bbe |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj-art-1ab49f34c6bd4672bb500fb8090d4bbe2025-08-20T03:52:56ZengMDPI AGMathematics2227-73902025-04-01139143810.3390/math13091438Matrix mKdV Integrable Hierarchies via Two Identical Group ReductionsWen-Xiu Ma0Department of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaThis paper applies a pair of identical group reductions or similarity transformations to formulate integrable models. An application to the Ablowitz–Kaup–Newell–Segur (AKNS) matrix spectral problems leads to reduced matrix modified Korteweg–de Vries (mKdV) integrable hierarchies. In particular, several illustrative examples of reduced matrix mKdV integrable models are derived from the reduced AKNS matrix spectral problems.https://www.mdpi.com/2227-7390/13/9/1438integrable hierarchylax pairAKNS matrix spectral problemzero-curvature equationgroup reduction |
| spellingShingle | Wen-Xiu Ma Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions Mathematics integrable hierarchy lax pair AKNS matrix spectral problem zero-curvature equation group reduction |
| title | Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions |
| title_full | Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions |
| title_fullStr | Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions |
| title_full_unstemmed | Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions |
| title_short | Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions |
| title_sort | matrix mkdv integrable hierarchies via two identical group reductions |
| topic | integrable hierarchy lax pair AKNS matrix spectral problem zero-curvature equation group reduction |
| url | https://www.mdpi.com/2227-7390/13/9/1438 |
| work_keys_str_mv | AT wenxiuma matrixmkdvintegrablehierarchiesviatwoidenticalgroupreductions |