THERMAL SCIENCE
International Scientific Journal
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.
KEYWORDS
PAPER SUBMITTED: 2023-03-11
PAPER REVISED: 2023-05-23
PAPER ACCEPTED: 2023-07-21
PUBLISHED ONLINE: 2024-02-18
THERMAL SCIENCE YEAR
2024, VOLUME
28, ISSUE
Issue 2, PAGES [1003 - 1006]
- 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
- 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
- Kumar, S., A New Analytical Modelling for Fractional Telegraph Equation Via Laplace Transform, Applied Mathematical Modelling, 38 (2014), 2, pp. 3154-3163
- 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
- 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
- Wang, K. L., Solitary Wave Dynamics of the Local Fractional Bogoyavlensky Konopelchenko Model, Fractals, 31 (2023), 5, ID2350054
- Wang, K. L., Exact Traveling Wave Solution for The Fractal Riemann Wave Model Arising in Ocean Science, Fractals, 30 (2022), 7, ID2250143
- Wei, C. F., New Solitary Wave Solutions for the Fractional Jaulent-Miodek Hierarchy Model, Fractals, 31 (2023), 5, ID2350060
- Wang, K. L., New Perspective Oon Fractional Hamiltonian Amplitude Equation, Optical and Quantum Electronics, 55 (2023), 2, ID1033
- 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
- 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
- Yang, X. J., et al., On the Traveling-Wave Solutions for Local Fractional Korteweg-De Vries Equation, Chaos, 26 (2016), 2, ID084312
- 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
- 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
- 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
- Wang, K. L., New Analysis Methods for the Coupled Fractional Non-Linear Hirota Equation, Fractals, 31 (2023), 9, ID2350119
- 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