Complex exact optical solutions for the high-dispersive nonlinear Schrödinger equation with parabolic law nonlinearity

IF 2.1 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Pramana Pub Date : 2025-07-08 DOI:10.1007/s12043-025-02939-y
Zilin Wang, Ben Gao
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引用次数: 0

Abstract

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.

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
本文采用统一的方法和改进的f展开方法,讨论了具有抛物律非线性的高色散非线性Schrödinger方程,该方程在非线性光学研究中具有重要意义。结果,提供了许多复杂的解析精确光学解。具体而言,通过统一的方法构造了三种多项式形式的解。利用改进的f展开法,建立了一系列的双曲三角解、三角解和有理解。此外,我们还绘制了一些选定解的二维、三维和等高线图像,以便对波的传播进行更全面、系统的探索。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
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.
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