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Conservation laws and exact solutions for coupled Schrödinger–KdV dynamical models arising in plasma

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Abstract

In the current work, we study the coupled Schrödinger–KdV (CS–KdV) equation. The Lie point symmetry generators are derived for the CS–KdV equation. We also show that the CS–KdV equation is non-linearly self-adjoint and we use this property to construct conservation laws corresponding to the symmetries of the model. Symmetry reduction technique in conjunction with the extended tanh method is used to calculate the solitary wave solution. Also, conservation laws for the CS–KdV equation is derived by applying the new conservation theorem of Ibragimov. The undetermined coefficients and Bernoulli sub-ODE methods are suggested for constructing the topological, non-topological and singular soliton solutions to the model. New breather solitary solutions are constructed for CS–KdV equation by using bilinear form and the extended homoclinic test approach (EHTA).

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Acknowledgements

The authors are very grateful to the editor and the anonymous reviewer for providing valuable suggestions for the betterment of the manuscript.

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Authors and Affiliations

  1. Faculty of Computers and Artificial Intelligence, Cairo University, Dr. Ahmed Zewail St. 5, Giza, 12613, Egypt

    Shrouk Wael

  2. Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni Suef, 62511, Egypt

    Shrouk Wael, S M Maowad & O H El-Kalaawy

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  1. Shrouk Wael
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  2. S M Maowad
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  3. O H El-Kalaawy
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Correspondence to Shrouk Wael.

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Wael, S., Maowad, S.M. & El-Kalaawy, O.H. Conservation laws and exact solutions for coupled Schrödinger–KdV dynamical models arising in plasma. Pramana - J Phys 96, 192 (2022). https://doi.org/10.1007/s12043-022-02422-y

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  • DOI: https://doi.org/10.1007/s12043-022-02422-y

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