Exact solitary wave solutions for non-linear optic model by variational perspective-Reference-Cited by-同舟云学术

Exact solitary wave solutions for non-linear optic model by variational perspective

Published:2024 Issue:2 Part A Volume:28 Page:1003-1006
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:Therm sci

Author:

Fan Zhi-Yong¹

Affiliation:

1. Institute of Applied Mathematics, Jiaozuo Normal College, Jiaozuo, Henan, China

Abstract

A variational principle for the non-linear optic model is established by semi-inverse method. Two new exact solitary wave solutions are obtained by using the variational transform method. Numerical examples show the novel method is efficient and simple, and can be applied to find solitary wave solutions for different types of wave equations. The physical properties of solitary wave solutions are illustrated by some figures.

Publisher

National Library of Serbia

Reference17 articles.

1. Lu, J. F., An Analytical Approach to The sine-Gordon equation Using the Modified Homotopy Perturbation Method, Computer and Mathematics with Applications, 58 (2009), 2, pp. 2313-2319

2. Ahmad, H., et al., Variational Iteration Algorithm-I with an Auxiliary Parameter for Wave-Like Vibration Equations, Journal of Low Frequency Noise Vibration And Active Control, 38 (2019),3, pp. 1113-1124

3. Kumar, S., A New Analytical Modelling for Fractional Telegraph Equation Via Laplace Transform, Applied Mathematical Modelling, 38 (2014), 2, pp. 3154-3163

4. Nadeem, M., et al., Modified Laplace Variational Iteration Method for Solving Fourth Order Parabolic Partial Differential Equation with Variable Coefficients, Computer and Mathematics with Applications, 78 (2019), 6, pp. 2052-2062

5. Kumar, S., et al., A Study of Fractional Lotka-Volterra Population Model Using Haar Wavelet and Adams-Bashforth-Moulton Methods, Mathematical Methods in Applied Sciences, 43 (2020), 8, pp. 5564-5578