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Inelastic Interaction of Double-Valley Dark Solitons for the Hirota Equation |
| Xiao-Man Zhang1, Yan-Hong Qin1, Li-Ming Ling1*, and Li-Chen Zhao2,3,4* |
1School of Mathematics, South China University of Technology, Guangzhou 510640, China
2School of Physics, Northwest University, Xi'an 710127, China
3Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China
4Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China
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Xiao-Man Zhang, Yan-Hong Qin, Li-Ming Ling et al 2021 Chin. Phys. Lett. 38 090201 |
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Abstract For a scalar integrable model, it is generally believed that the solitons interact with each other elastically, for instance, multi-bright solitons from the nonlinear Schrödinger equation and the Korteweg-de Vries equation, etc. We obtain double-valley dark solitons from the defocusing Hirota equation by the Darboux transformation. Particularly, we report a remarkable phenomenon for the inelastic interaction of the double-valley dark solitons, in contrast to the solitons interacting with each other elastically for a scalar integrable model in previous works. Furthermore, we give the explicit conditions for the elastic collision based on the asymptotic analysis results. It is shown that the double-valley dark solitons could also admit elastic interaction under the special parameters settings.
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Received: 08 July 2021
Editors' Suggestion
Published: 02 September 2021
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11771151, 12022513, and 11775176), the Guangzhou Science and Technology Program (Grant No. 201904010362), the Fundamental Research Funds for Central Universities (Grant No. 2019MS110), and the Major Basic Research Program of Natural Science of Shaanxi Province (Grant No. 2018KJXX-094). |
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