{"title":"具有抛物律非线性的高色散非线性Schrödinger方程的复精确光学解","authors":"Zilin Wang, Ben Gao","doi":"10.1007/s12043-025-02939-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity, which is significant in the study of nonlinear optics, is discussed using two different approaches, namely the unified method and the improved <i>F</i>-expansion method. As an outcome, scores of complex analytical exact optical solutions are offered. Specifically, three types of solutions in polynomial form are constructed via the unified method. A succession of hyperbolic trigonometric, trigonometric and rational solutions are built with the assistance of the improved <i>F</i>-expansion method. Further, we draw two-dimensional, three-dimensional and contour images for some selected solutions so as to make a more comprehensive and systematic exploration for wave propagation.\n</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2025-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complex exact optical solutions for the high-dispersive nonlinear Schrödinger equation with parabolic law nonlinearity\",\"authors\":\"Zilin Wang, Ben Gao\",\"doi\":\"10.1007/s12043-025-02939-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity, which is significant in the study of nonlinear optics, is discussed using two different approaches, namely the unified method and the improved <i>F</i>-expansion method. As an outcome, scores of complex analytical exact optical solutions are offered. Specifically, three types of solutions in polynomial form are constructed via the unified method. A succession of hyperbolic trigonometric, trigonometric and rational solutions are built with the assistance of the improved <i>F</i>-expansion method. Further, we draw two-dimensional, three-dimensional and contour images for some selected solutions so as to make a more comprehensive and systematic exploration for wave propagation.\\n</p></div>\",\"PeriodicalId\":743,\"journal\":{\"name\":\"Pramana\",\"volume\":\"99 3\",\"pages\":\"\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2025-07-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pramana\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12043-025-02939-y\",\"RegionNum\":4,\"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":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-025-02939-y","RegionNum":4,"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}
Complex exact optical solutions for the high-dispersive nonlinear Schrödinger equation with parabolic law nonlinearity
In this paper, the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity, which is significant in the study of nonlinear optics, is discussed using two different approaches, namely the unified method and the improved F-expansion method. As an outcome, scores of complex analytical exact optical solutions are offered. Specifically, three types of solutions in polynomial form are constructed via the unified method. A succession of hyperbolic trigonometric, trigonometric and rational solutions are built with the assistance of the improved F-expansion method. Further, we draw two-dimensional, three-dimensional and contour images for some selected solutions so as to make a more comprehensive and systematic exploration for wave propagation.
期刊介绍:
Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.