Nonlocal Complex Modified Korteweg-de Vries Equations: Reductions and Exact Solutions
| Autor: | Gaukhar Shaikhova, Ratbay Myrzakulov, Kuralay Yesmakhanova, Nurzhan Serikbayev |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Spacetime Integrable system Applied Mathematics Type (model theory) Symmetry (physics) Reduction (complexity) Quantum nonlocality Transformation (function) Nonlinear Sciences::Exactly Solvable and Integrable Systems Simple (abstract algebra) Geometry and Topology Mathematical Physics Mathematical physics |
| Zdroj: | Proceedings of the Twenty-First International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2020) |
| Popis: | We present three different two-dimensional nonlocal integrable cmKdV equations obtained by Ablowitz-Musslimani type of reductions which are respectively T-symmetric, S-symmetric, and ST-symmetric nonlocal cmKdV equations. Ablowiz - Musslimani type of reduction arises from remarkably simple symmetry reductions of general AKNS scattering problems where the nonlocality appears in both space and time or time alone. Moreover, we obtain exact solutions by Darboux transformation. |
| Databáze: | OpenAIRE |
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