Determinant representation of Darboux transformation for the AKNS system
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2006/12/01
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Indian UGC (journal)
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Refrences24
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Citations75
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Jingsong He
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Ling Zhang
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Yi Cheng
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Yishen Li
Cite
He, Jingsong, et al. “Determinant Representation of Darboux Transformation for the AKNS System”. Science in China Series A: Mathematics, vol. 49, no. 12, 2006, pp. 1867-78, https://doi.org/10.1007/s11425-006-2025-1.
He, J., Zhang, L., Cheng, Y., & Li, Y. (2006). Determinant representation of Darboux transformation for the AKNS system. Science in China Series A: Mathematics, 49(12), 1867-1878. https://doi.org/10.1007/s11425-006-2025-1
He, Jingsong, Ling Zhang, Yi Cheng, and Yishen Li. “Determinant Representation of Darboux Transformation for the AKNS System”. Science in China Series A: Mathematics 49, no. 12 (2006): 1867-78. https://doi.org/10.1007/s11425-006-2025-1.
He J, Zhang L, Cheng Y, Li Y. Determinant representation of Darboux transformation for the AKNS system. Science in China Series A: Mathematics. 2006;49(12):1867-78.
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources | Physica A: Statistical Mechanics and its Applications |
| 29 | 2005 |
| Integral-Type Darboux Transformations for the mKdV Hierarchy with Self-Consistent Sources | Communications in Theoretical Physics |
| 45 | 2002 |
Two binary Darboux transformations for the KdV hierarchy with self-consistent sources | Journal of Mathematical Physics |
| 107 | 2001 |
| Darboux Transformations for a Lax Integrable System in 2n Dimensions | Letters in Mathematical Physics |
| 78 | 1997 |
Vandermonde-like determinants and N-fold Darboux/Bäcklund transformations | Journal of Mathematical Physics |
| 23 | 1997 |
Refrences Analysis
The category
Science: Physics 10
is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Physics and Letters in Mathematical Physics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Riemann–Hilbert approach and soliton analysis of a novel nonlocal reverse-time nonlinear Schrödinger equation | Nonlinear Dynamics |
| 3 | 2024 |
| Families of exact solutions of a Generalized (2+1)-dimensional Boussinesq type equation | Wave Motion |
| 2024 | |
Breathers for the sixth-order nonlinear Schrödinger equation on the plane wave and periodic wave background | Physics of Fluids |
| 2024 | |
| A new physically meaningful general nonlocal reverse-space nonlinear Schrödinger equation and its novel Riemann–Hilbert method via temporal-part spectral analysis for deriving soliton solutions | Nonlinear Dynamics |
| 3 | 2023 |
| Exact solutions of the nonlocal higher-order Chen–Lee–Liu equation | Optik |
| 1 | 2023 |
Citations Analysis
The category
Science: Physics 49
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled INTEGRABLE ASPECTS AND SOLITON-LIKE SOLUTIONS OF AN INHOMOGENEOUS COUPLED HIROTA–MAXWELL–BLOCH SYSTEM IN OPTICAL FIBERS WITH SYMBOLIC COMPUTATION and was published in 2010. The most recent citation comes from a 2024 study titled Breathers for the sixth-order nonlinear Schrödinger equation on the plane wave and periodic wave background. This article reached its peak citation in 2015, with 10 citations. It has been cited in 41 different journals, 4% of which are open access. Among related journals, the Physical Review E cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.