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Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equations

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  • Eslami, Mostafa

Abstract

This paper applies new conformable fractional derivative for converting fractional coupled nonlinear Schrodinger equations into the ordinary differential equations. Then by using the Kudryashov method we extract new traveling wave solutions to the fractional coupled nonlinear Schrodinger equation. This method will be analyzed for accuracy and stability.

Suggested Citation

  • Eslami, Mostafa, 2016. "Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equations," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 141-148.
    • Handle: RePEc:eee:apmaco:v:285:y:2016:i:c:p:141-148
    DOI: 10.1016/j.amc.2016.03.032
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    References listed on IDEAS

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    1. Kudryashov, Nikolai A., 2005. "Simplest equation method to look for exact solutions of nonlinear differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1217-1231.
    2. Hasan Bulut & Haci Mehmet Baskonus & Fethi Bin Muhammad Belgacem, 2013. "The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, September.
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    Cited by:

    1. Lei Fu & Yaodeng Chen & Hongwei Yang, 2019. "Time-Space Fractional Coupled Generalized Zakharov-Kuznetsov Equations Set for Rossby Solitary Waves in Two-Layer Fluids," Mathematics, MDPI, vol. 7(1), pages 1-13, January.
    2. dos Santos, Mateus C.P., 2024. "Orthogonal multi-peak solitons from the coupled fractional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    3. Zhao, Dazhi & Pan, Xueqin & Luo, Maokang, 2018. "A new framework for multivariate general conformable fractional calculus and potential applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 271-280.
    4. Kaviya, R. & Priyanka, M. & Muthukumar, P., 2022. "Mean-square exponential stability of impulsive conformable fractional stochastic differential system with application on epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Inc, Mustafa & Yusuf, Abdullahi & Aliyu, Aliyu Isa & Baleanu, Dumitru, 2018. "Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana–Baleanu derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 520-531.
    6. Tang, Lu & Chen, Shanpeng, 2022. "Traveling wave solutions for the diffusive Lotka–Volterra equations with boundary problems," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    7. Zhao, Dazhi & Yu, Guozhu & Tian, Yan, 2020. "Recursive formulae for the analytic solution of the nonlinear spatial conformable fractional evolution equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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