https://doi.org/10.1140/epjp/s13360-022-03455-3
Regular Article
Soliton resonances and soliton molecules of pump wave and Stokes wave for a transient stimulated Raman scattering system in optics
1
School of Computer Science and Engineering, Beijing Technology and Business University, 100048, Beijing, People’s Republic of China
2
Academy of Systems Science, Beijing Technology and Business University, 100048, Beijing, People’s Republic of China
3
School of Mathematics and Statistics, Beijing Technology and Business University, 100048, Beijing, People’s Republic of China
Received:
25
August
2022
Accepted:
2
November
2022
Published online:
9
November
2022
Pump wave and Stokes wave are two important pulse waves in modern nonlinear optics. In this work, we study soliton resonance and soliton molecules of pump wave and Stokes wave for a transient stimulated Raman scattering system in optics. The multi-soliton solutions of pump wave and Stokes wave for the system are constructed via applying the Darboux transformation. By controlling spectrum eigenvalues, we observe two types of soliton interactions of pump wave and Stokes, namely, local soliton resonances and complete soliton resonances. The interactions are elastic. In addition, we also discover there exist the soliton molecules for the system. The complete soliton resonances can be special cases of soliton molecules. The results in this study confirm that it is available to generate and propagate more complicated optical signals at the same spatio-temporal region through exciting higher-order resonant solitons.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
