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EXACT SOLITARY WAVE SOLUTIONS FOR NON-LINEAR OPTIC MODEL BY VARIATIONAL PERSPECTIVE

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.
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PAPER SUBMITTED: 2023-03-11
PAPER REVISED: 2023-05-23
PAPER ACCEPTED: 2023-07-21
PUBLISHED ONLINE: 2024-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI230311017F
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 2, PAGES [1003 - 1006]
REFERENCES
  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
  6. Wang, K. L., Solitary Wave Dynamics of the Local Fractional Bogoyavlensky Konopelchenko Model, Fractals, 31 (2023), 5, ID2350054
  7. Wang, K. L., Exact Traveling Wave Solution for The Fractal Riemann Wave Model Arising in Ocean Science, Fractals, 30 (2022), 7, ID2250143
  8. Wei, C. F., New Solitary Wave Solutions for the Fractional Jaulent-Miodek Hierarchy Model, Fractals, 31 (2023), 5, ID2350060
  9. Wang, K. L., New Perspective Oon Fractional Hamiltonian Amplitude Equation, Optical and Quantum Electronics, 55 (2023), 2, ID1033
  10. Yang, X. J., et al., Exact Travelling Wave Solutions for The Local Fractional 2-D Burgers-Type Equa­tions, Computers and Mathematics with Applications, 73 (2017), 2, pp. 203-210
  11. Liu, J. G., et al., On the (N+1)-D Local Fractional Reduced Differential Transform Method and Its Appli­cations, Mathematical Methods in Applied Sciences, 43 (2020), 5, pp. 8856-8866
  12. Yang, X. J., et al., On the Traveling-Wave Solutions for Local Fractional Korteweg-De Vries Equation, Chaos, 26 (2016), 2, ID084312
  13. Nisar, K. S., et al., An Analysis of Controllability Results for Non-Linear Hilfer Neutral Fractional Deriv­atives with Non-Dense Domain, Chaos, Soliton and Fractals, 146 (2021), 2, ID110915
  14. Wang, K. J., Resonant Multiple Wave, Periodic Wave And Interaction Solutions Of The New Ex­tended (3+1)-D Boiti-Leon-Manna-Pempinelli Equation, Non-Linear Dynamics, 111 (2023), July, pp. 16427-16439
  15. Baskonus, N. M., et al., Complex Mixed Dark-Bright Wave Patterns to the Modified Vakhnenko-Parkes Equations, Alexandria Engineering Journal, 59 (2020), 2, pp. 2149-2160
  16. Wang, K. L., New Analysis Methods for the Coupled Fractional Non-Linear Hirota Equation, Fractals, 31 (2023), 9, ID2350119
  17. Subashini, R., et al, New Results on Non-Local Functional Integro-Differential Equations Via Hilfer Fractional Derivative, Alexandria Engineering Journal, 59 (2020), 2, pp.2891-2899

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence