THERMAL SCIENCE

International Scientific Journal

Mostafa M. A. Khater

,

Raghda A. M. Attia

,

Sayed K. Elagan

,

Meteub R. Alharthi

NOVEL SOLITARY WAVE SOLUTIONS IN PARABOLIC LAW MEDIUM WITH WEAK NON-LOCAL NON-LINEARITY

ABSTRACT
In this paper, the auxiliary equation method is employed to construct novel solitary wave solutions of the dimensionless form of the non-linear Schrodinger equation with parabolic law of non-linearity in the presence of non-linear dispersion. The solutions are represented through various techniques to demonstrate the dynamical and physical behavior of the investigated models. All solutions are checked their accuracy by putting them back into the original model's equation by MATHEMATICA 12.
KEYWORDS
auxiliary equation method, non-linear dispersion, non-linear Schrodinger equation with parabolic law of non-linearity, computational solutions
PAPER SUBMITTED: 2021-04-03
PAPER REVISED: 2021-04-25
PAPER ACCEPTED: 2021-05-07
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2239K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [239 - 246]
REFERENCES
  1. Khater, M. M. A, et al., Abundant New Solutions of the trAnsmission of Nerve Impulses of an Excitable System, The European Physical Journal Plus, 135 (2020), 2, pp 1-12
  2. Khater, M. M. A, et al., Computational Analysis of a Non-linear Fractional Emerging Telecommunication Model with Higher-Order Dispersive Cubic-Quinti, Information Sciences Letters, 9 (2020), 2
  3. Yue, C., et al., Computational Simulations of the Couple Boiti-Leon-Pempinelli (BLP) System and the (3+1)-Dimensional Kadomtsev-Petviashvili (KP) equation, AIP Advances, 10 (2020), 4, ID 045216
  4. Abdel-Aty, Abdel-Haleem, et al., Abundant Distinct Types of Solutions for the Nervous Biological Frac-tional FitzHugh-Nagumo Equation Via Three Different Sorts of Schemes, Advances in Difference Equa-tions, 2020 (2020), 1, pp. 1-17
  5. Khater, M. M. A, et al., Two Effective Computational Schemes for a Prototype of an Excitable System, AIP Advances, 10 (2020), 10, ID 105120
  6. Khater, M. M. A., Abundant Breather and Semi-Analytical Investigation: On High-Frequency Waves' Dynamics in the Relaxation Medium, Modern Physics Letters B, 35 (2021), 22, 2150372
  7. Khater, M. M. A, et al., On the Interaction Between (Low & High) Frequency of (Ion-Acoustic & Lang-muir) Waves in Plasma Via Some Recent Computational Schemes, Results in Physics, 19 (2020), Dec., ID 103684
  8. Khater, M. M. A, et al., Numerical Simulations for the -odel as a prototype of an Excitable System, Nu-merical Methods for Partial Differential Equations, On-line first, doi.org/10.1002/num.22708, 2020
  9. Khater, M. M. A, et al., Effective Computational Schemes for a Mathematical Model of Relativistic Elec-trons Arising in the Laser Thermonuclear Fusion, Results in Physics, 19 (2020), ID 103701
  10. Khater, M. M. A, et al., On Rigorous Computational and Numerical Solutions for the Voltages of the Electrified Transmission Range with the Day Yet Distance, Numerical Methods for Partial Differential Equations, , On-line first, doi.org/10.1002/num.227080, 2020
  11. Abdel-Aty, Abdel-Haleem, et al., Abundant Distinct Types of Solutions for the Nervous Biological Frac-tional FitzHugh-Nagumo Equation Via Three Different Sorts of Schemes, Advances in Difference Equa-tions, 2020 (2020), Sept., 476
  12. Khater, M. M. A, et al., Novel Soliton Waves of Two Fluid Non-Linear Evolutions Models in the View of Computational Scheme, International Journal of Modern Physics B, 34 (2020), 10, ID 2050096
  13. Khater, M. M. A, et al., Computational and Numerical Simulations for the Non-Linear Fractional Kolmo-gorov-Petrovskii-Piskunov (FKPP) Equation, Physica Scripta, 95 (2020), 5, ID 055213
  14. Abdel-Aty, Abdel-Haleem, et al., Oblique explicit Wave Solutions of the Fractional Biological Population (BP) and Equal width (EW) Models, Advances in Difference Equations, 2020 (2020), Oct, 552
  15. Khater, M. M. A, et al., Two Effective Computational Schemes for a Prototype of an Excitable System, AIP Advances, 10 (2020), 10, ID 105120
  16. Triki, H., Anjan, B., Dark Solitons for a Generalized Non-Linear Schrodinger Equation with Parabolic Law and Dual‐Power Law Non-Linearities, Mathematical Methods in the Applied Sciences, 34 (2011), 8, pp. 958-962
  17. Chen, C., et al., Dynamical Behavior and Exact Solutions for Time-Fractional Non-Linear Schrodinger Equation with Parabolic Law Non-Linearity, Optik, 222 (2020), Nov., ID 165331
  18. Nawaz, B., et al., Optical Solitons for Non-Kerr Law Non-Linear Schrodinger Equation with Third and Fourth Order Dispersions, Chinese Journal of Physics, 60 (2019), Aug., pp. 133-140
  19. Alshahrani, B., et al., Accurate Novel Explicit Complex Wave Solutions of the (2+1)-Dimensional Chiral Non-Linear Schrodinger Equation, Results in Physics, 23 (2021), Apr., ID 104019
  20. Attia, Raghda A. M., et al., Accurate Sets of Solitary Solutions for the Quadratic-Cubic Fractional Non- -Linear Schrodinger Equation, AIP Advances, 11 (2021), 5, ID 055105
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Novel solitary wave solutions in parabolic law medium with weak non-local non-linearity

© 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