Inelastic Interaction of Double-Valley Dark Solitons for the Hirota Equation  

作　　者：Xiao-Man Zhang Yan-Hong Qin Li-Ming Ling Li-Chen Zhao 张小曼;秦艳红;凌黎明;赵立臣(School of Mathematics,South China University of Technology,Guangzhou 510640,China;School of Physics,Northwest University,Xi’an 710127,China;Shaanxi Key Laboratory for Theoretical Physics Frontiers,Xi’an 710127,China;Peng Huanwu Center for Fundamental Theory,Xi’an 710127,China)

机构地区：[1]School of Mathematics,South China University of Technology,Guangzhou 510640,China [2]School of Physics,Northwest University,Xi’an 710127,China [3]Shaanxi Key Laboratory for Theoretical Physics Frontiers,Xi’an 710127,China [4]Peng Huanwu Center for Fundamental Theory,Xi’an 710127,China

出　　处：《Chinese Physics Letters》2021年第9期1-5,共5页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11771151,12022513,11775176);the Guangzhou Science and Technology Program(Grant No.201904010362);the Fundamental Research Funds for Central Universities(Grant No.2019MS110);the Major Basic Research Program of Natural Science of Shaanxi Province(Grant No.2018KJXX-094)。

摘　　要：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 Schrodinger 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.

关 键 词：SOLITONS INTEGRABLE EQUATION 

分 类 号：O175.29[理学—数学]