{"title":"二次势中分数衍射和非均质立方非线性条件下的多驼峰孤子","authors":"","doi":"10.1016/j.physleta.2024.130018","DOIUrl":null,"url":null,"abstract":"<div><div>We demonstrate the existence and stability of various multi-hump soliton families within the nonlinear Schrödinger equation with inhomogeneous cubic nonlinearity and fractional diffraction, in the presence of a linear quadratic potential. The profiles, amplitudes, and powers of the three soliton families (the two-, three- and four-hump solitons) are investigated under different parameters, including the Lévy index, propagation constant, and the parameters of the nonuniform cubic nonlinearity. The amplitudes of the two- and three-hump solitons are little sensitive to the variations in the Lévy index, but are highly sensitive to the changes in the propagation constant. Furthermore, we report on two distinct types of four-hump solitons and their propagation under longitudinally modulated nonlinearity. Interestingly, a gradual increase or decrease in the parameter results in the stable regular propagation, while a sudden increase or decrease causes severe distortions and leads to unstable behavior of solitons.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":null,"pages":null},"PeriodicalIF":2.3000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multi-hump solitons under fractional diffraction and inhomogeneous cubic nonlinearity in a quadratic potential\",\"authors\":\"\",\"doi\":\"10.1016/j.physleta.2024.130018\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We demonstrate the existence and stability of various multi-hump soliton families within the nonlinear Schrödinger equation with inhomogeneous cubic nonlinearity and fractional diffraction, in the presence of a linear quadratic potential. The profiles, amplitudes, and powers of the three soliton families (the two-, three- and four-hump solitons) are investigated under different parameters, including the Lévy index, propagation constant, and the parameters of the nonuniform cubic nonlinearity. The amplitudes of the two- and three-hump solitons are little sensitive to the variations in the Lévy index, but are highly sensitive to the changes in the propagation constant. Furthermore, we report on two distinct types of four-hump solitons and their propagation under longitudinally modulated nonlinearity. Interestingly, a gradual increase or decrease in the parameter results in the stable regular propagation, while a sudden increase or decrease causes severe distortions and leads to unstable behavior of solitons.</div></div>\",\"PeriodicalId\":20172,\"journal\":{\"name\":\"Physics Letters A\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0375960124007126\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375960124007126","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Multi-hump solitons under fractional diffraction and inhomogeneous cubic nonlinearity in a quadratic potential
We demonstrate the existence and stability of various multi-hump soliton families within the nonlinear Schrödinger equation with inhomogeneous cubic nonlinearity and fractional diffraction, in the presence of a linear quadratic potential. The profiles, amplitudes, and powers of the three soliton families (the two-, three- and four-hump solitons) are investigated under different parameters, including the Lévy index, propagation constant, and the parameters of the nonuniform cubic nonlinearity. The amplitudes of the two- and three-hump solitons are little sensitive to the variations in the Lévy index, but are highly sensitive to the changes in the propagation constant. Furthermore, we report on two distinct types of four-hump solitons and their propagation under longitudinally modulated nonlinearity. Interestingly, a gradual increase or decrease in the parameter results in the stable regular propagation, while a sudden increase or decrease causes severe distortions and leads to unstable behavior of solitons.
期刊介绍:
Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.