Discrete nonlinear Schrödinger type equations: Solutions and continuum limits
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913324077154304 |
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| author | Zhao, Song-lin Feng, Xiao-hui Feng, Wei |
| author_facet | Zhao, Song-lin Feng, Xiao-hui Feng, Wei |
| contents | As local and nonlocal reductions of a discrete second-order Ablowitz-Kaup-Newell-Segur equation, two discrete nonlinear Schrödinger type equations are considered. Through the bilinearization reduction method, we construct double Casoratian solutions of the reduced discrete nonlinear Schrödinger type equations, including soliton solutions and Jordan-block solutions.Dynamics of the obtained one-soliton and two-soliton solutions are analyzed and illustrated. Moreover,both semi-continuous limit and full continuous limit, are applied to obtain solutions of the local and nonlocal semi-discrete nonlinear Schrödinger type equations, as well as the local and nonlocal continuous nonlinear Schrödinger type equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discrete nonlinear Schrödinger type equations: Solutions and continuum limits Zhao, Song-lin Feng, Xiao-hui Feng, Wei Exactly Solvable and Integrable Systems As local and nonlocal reductions of a discrete second-order Ablowitz-Kaup-Newell-Segur equation, two discrete nonlinear Schrödinger type equations are considered. Through the bilinearization reduction method, we construct double Casoratian solutions of the reduced discrete nonlinear Schrödinger type equations, including soliton solutions and Jordan-block solutions.Dynamics of the obtained one-soliton and two-soliton solutions are analyzed and illustrated. Moreover,both semi-continuous limit and full continuous limit, are applied to obtain solutions of the local and nonlocal semi-discrete nonlinear Schrödinger type equations, as well as the local and nonlocal continuous nonlinear Schrödinger type equations. |
| title | Discrete nonlinear Schrödinger type equations: Solutions and continuum limits |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2404.14060 |