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Waves in Random and Complex Media Volume 30, 2020 - Issue 3
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Original Articles

Invariant analysis with conservation law of time fractional coupled Ablowitz–Kaup–Newell–Segur equations in water waves

S. Sahooa Department of Mathematics, Kalinga Institute of Industrial Technology, Bhubaneswar, India
&
S. Saha Rayb Department of Mathematics, National Institute of Technology, Rourkela, IndiaCorrespondence[email protected]
Pages 530-543 | Received 27 Jul 2018, Accepted 17 Oct 2018, Published online: 14 Nov 2018

Citations (10)

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Sait San, Pinki Kumari & Sachin Kumar. (2021) On analytic series solutions and conserved fluxes of the time fractional (2+1)-dimensional Burger's system via invariant approach. Waves in Random and Complex Media 0:0, pages 1-13.
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Articles from other publishers (9)

Emad H. M. Zahran & Ahmet Bekir. (2023) Optical soliton solutions to the perturbed biswas-milovic equation with kudryashov’s law of refractive index. Optical and Quantum Electronics 55:14.
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Rasha B. AL‐Denari, Engy. A. Ahmed & Mohammed M. Tharwat. (2022) The time‐fractional generalized Z‐K equation: Analysis of Lie group, similarity reduction, conservation laws, and explicit solutions. Mathematical Methods in the Applied Sciences 46:4, pages 4475-4493.
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Kelei Zhang, Jianguo Yu & Shengqiang Tang. (2022) Stability of Peakons and Periodic Peakons for the mCH–Novikov–CH Equation. Symmetry 14:8, pages 1702.
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Manjit Singh. (2022) A Revisit of Symmetry Analysis and Group Classifications of Boiti–Leon–Pempinelli System in (2+1)-Dimensions. International Journal of Applied and Computational Mathematics 8:2.
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Chuan-Jing Song & Shi-Lei Shen. (2021) Noether symmetry method for Birkhoffian systems in terms of generalized fractional operators. Theoretical and Applied Mechanics Letters 11:6, pages 100298.
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Ahmet Bekir & Emad H.M. Zahran. (2021) New multiple-different impressive perceptions for the solitary solution to the magneto-optic waveguides with anti-cubic nonlinearity. Optik 240, pages 166939.
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Nisrine Maarouf & Khalid Hilal. (2021) Invariant Analysis, Analytical Solutions, and Conservation Laws for Two-Dimensional Time Fractional Fokker-Planck Equation. Journal of Function Spaces 2021, pages 1-9.
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Ahmet Bekir & Emad H. M. Zahran. (2021) Optical soliton solutions of the thin-film ferro-electric materials equation according to the Painlevé approach. Optical and Quantum Electronics 53:2.
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Ruichao Ren & Shunli Zhang. (2020) Invariant analysis, conservation laws, and some exact solutions for (2+1)-dimension fractional long-wave dispersive system. Computational and Applied Mathematics 39:4.
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