Pub Date : 2023-09-06DOI: 10.1088/1674-1056/acf703
Jinzhou Liu, Xinying Yan, Meng Jin, Xiangpeng Xin
This article presents the construction of a nonlocal Hirota equation with variable coefficient and its Darboux transformation. Using zero-seed solutions, 1-soliton and 2-soliton solutions of the equation are constructed through the Darboux transformation, along with the expression for N-soliton solutions. The influence of coefficient functions on the solutions is investigated by choosing different coefficient functions, and the dynamics of the solutions are analyzed. For the first time, this article utilizes the Lax pair to construct infinite conservation laws and extends it to nonlocal equations. The study of infinite conservation laws for nonlocal equations holds significant implications for the integrability of nonlocal equations.
{"title":"Darboux transformation, Infinite conservation laws and Exact solutions for nonlocal Hirota equation with variable coefficient","authors":"Jinzhou Liu, Xinying Yan, Meng Jin, Xiangpeng Xin","doi":"10.1088/1674-1056/acf703","DOIUrl":"https://doi.org/10.1088/1674-1056/acf703","url":null,"abstract":"\u0000 This article presents the construction of a nonlocal Hirota equation with variable coefficient and its Darboux transformation. Using zero-seed solutions, 1-soliton and 2-soliton solutions of the equation are constructed through the Darboux transformation, along with the expression for N-soliton solutions. The influence of coefficient functions on the solutions is investigated by choosing different coefficient functions, and the dynamics of the solutions are analyzed. For the first time, this article utilizes the Lax pair to construct infinite conservation laws and extends it to nonlocal equations. The study of infinite conservation laws for nonlocal equations holds significant implications for the integrability of nonlocal equations.","PeriodicalId":10253,"journal":{"name":"Chinese Physics B","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45888200","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-06DOI: 10.1088/1674-1056/acf705
Yong Nie, Zheng Chen, Wensen Wei, Huijie Li, Yong Zhang, Ming Mei, Yuanyuan Wang, Wenhai Song, Dongsheng Song, Zhaosheng Wang, Xiang Zhu, W. Ning, Mingliang Tian
Here we report a systematic study on layered metal SrCu4-x P2 single crystals combined with transport, magnetization, thermodynamic measurements and structural characterization. We found the crystals show large linear magnetoresistance without any sign of saturation with magnetic field up to the 30 T. We also observed a phase transition with significant anomaly in resistivity and heat capacity at Tp ~ 140 K. Thermal expansion measurement reveals a subtle lattice parameters variation near Tp , i.e. ΔLc /Lc ~ 0.062%. The structural characterization proves that there is no structure transition below and above Tp . All these results suggest that the nonmagnetic transition SrCu4-x P2 should be associated with structural distortion.
{"title":"Linear magnetoresistance and structural distortion in layered SrCu4-x\u0000 P2 single crystals","authors":"Yong Nie, Zheng Chen, Wensen Wei, Huijie Li, Yong Zhang, Ming Mei, Yuanyuan Wang, Wenhai Song, Dongsheng Song, Zhaosheng Wang, Xiang Zhu, W. Ning, Mingliang Tian","doi":"10.1088/1674-1056/acf705","DOIUrl":"https://doi.org/10.1088/1674-1056/acf705","url":null,"abstract":"\u0000 Here we report a systematic study on layered metal SrCu4-x\u0000 P2 single crystals combined with transport, magnetization, thermodynamic measurements and structural characterization. We found the crystals show large linear magnetoresistance without any sign of saturation with magnetic field up to the 30 T. We also observed a phase transition with significant anomaly in resistivity and heat capacity at Tp\u0000 ~ 140 K. Thermal expansion measurement reveals a subtle lattice parameters variation near Tp\u0000 , i.e. ΔLc\u0000 /Lc\u0000 ~ 0.062%. The structural characterization proves that there is no structure transition below and above Tp\u0000 . All these results suggest that the nonmagnetic transition SrCu4-x\u0000 P2 should be associated with structural distortion.","PeriodicalId":10253,"journal":{"name":"Chinese Physics B","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46192343","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}