Analytical soliton solutions for the (2 + 1)-perturbed and higher order cubic–quintic nonlinear Schrödinger equations

Ahmad Rafiq; Javid Ahmad

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Analytical soliton solutions for the (2 + 1)-perturbed and higher order cubic–quintic nonlinear Schrödinger equations

机译：Analytical soliton solutions for the (2 + 1)-perturbed and higher order cubic–quintic nonlinear Schrödinger equations

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Abstract In this paper, a comprehensive analysis of traveling wave solutions of two nonlinear Schrödinger type equations are carried out with help of three different integration techniques namely the tanh–coth, Kudryashov and sine–cosine methods. These equations include the (2 + 1)-dimensional perturbed nonlinear Schrödinger’s equation and cubic–quintic nonlinear Schrödinger’s equation. The obtained travelling wave solutions are in the form of rational function solutions, trigonometric function solutions, exponential function solutions and hyperbolic function solutions. Our proposed results showed that these techniques are reliable to study the nonlinear PDEs in fiber optics. The higher order cubic–quintic nonlinear Schrödinger equation (NLSE) explains the transmission of incredibly low signals and broadband communications that stretch into the spectral region, as well as the doping of optical fiber and the encryption of data in optical fibers.

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来源
《Optical and Quantum Electronics》 |2023年第10期|共5页
作者
Ahmad Rafiq; Javid Ahmad;
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作者单位

National University of Sciences and Technology (NUST);

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类光学;
关键词
The tanh–coth method (TCM); Kudryashov method (KM); Sine–cosine method (SCM); (2 + 1)-Dimensional perturbed nonlinear Schrödinger equation (P-NLSE); Higher order cubic–quintic nonlinear Schrödinger equation (CQNLSE); Travelling wave solutions;

Analytical soliton solutions for the (2 + 1)-perturbed and higher order cubic–quintic nonlinear Schrödinger equations

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