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Analytical Solutions of Nonlinear Coupled Schrodinger–KdV Equation via Advance Exponential Expansion

Received: 21 November 2018     Accepted: 8 December 2018     Published: 18 February 2019
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Abstract

This research work is to represent an advance exp(-Φ(ξ))-expansion method with nonlinear ordinary differential equation for constructing interacting analytical solutions of nonlinear coupled physical models arising in science and engineering. It is capable of determining all branches of interacting analytical solutions simultaneously and this difficult to discriminate with numerical technique. To verify its computational potentiality, the coupled Schrodinger-KdV equation is considered. The obtained solutions in this work reveal that the method is a very effective and easily applicable of formulating the scattered exact traveling wave solutions of many nonlinear coupled wave equations. It is investigated the scattered wave solutions may be useful in understanding the behavior of physical structures in any varied instances, where the coupled Schrodinger-KdV equation is occurred.

Published in American Journal of Mathematical and Computer Modelling (Volume 3, Issue 3)
DOI 10.11648/j.ajmcm.20180303.11
Page(s) 46-51
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Coupled Schrodinger-KdV Equation, Solitary Wave Solution, Periodic Wave Solution, The Advance Exp(-Φ(ξ))-Expansion Method

References
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Cite This Article
  • APA Style

    Md. Mashiur Rahhman, Ayrin Aktar, Kamalesh Chandra Roy. (2019). Analytical Solutions of Nonlinear Coupled Schrodinger–KdV Equation via Advance Exponential Expansion. American Journal of Mathematical and Computer Modelling, 3(3), 46-51. https://doi.org/10.11648/j.ajmcm.20180303.11

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    ACS Style

    Md. Mashiur Rahhman; Ayrin Aktar; Kamalesh Chandra Roy. Analytical Solutions of Nonlinear Coupled Schrodinger–KdV Equation via Advance Exponential Expansion. Am. J. Math. Comput. Model. 2019, 3(3), 46-51. doi: 10.11648/j.ajmcm.20180303.11

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    AMA Style

    Md. Mashiur Rahhman, Ayrin Aktar, Kamalesh Chandra Roy. Analytical Solutions of Nonlinear Coupled Schrodinger–KdV Equation via Advance Exponential Expansion. Am J Math Comput Model. 2019;3(3):46-51. doi: 10.11648/j.ajmcm.20180303.11

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  • @article{10.11648/j.ajmcm.20180303.11,
      author = {Md. Mashiur Rahhman and Ayrin Aktar and Kamalesh Chandra Roy},
      title = {Analytical Solutions of Nonlinear Coupled  Schrodinger–KdV Equation via Advance Exponential Expansion},
      journal = {American Journal of Mathematical and Computer Modelling},
      volume = {3},
      number = {3},
      pages = {46-51},
      doi = {10.11648/j.ajmcm.20180303.11},
      url = {https://doi.org/10.11648/j.ajmcm.20180303.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20180303.11},
      abstract = {This research work is to represent an advance exp(-Φ(ξ))-expansion method with nonlinear ordinary differential equation for constructing interacting analytical solutions of nonlinear coupled physical models arising in science and engineering. It is capable of determining all branches of interacting analytical solutions simultaneously and this difficult to discriminate with numerical technique. To verify its computational potentiality, the coupled Schrodinger-KdV equation is considered. The obtained solutions in this work reveal that the method is a very effective and easily applicable of formulating the scattered exact traveling wave solutions of many nonlinear coupled wave equations. It is investigated the scattered wave solutions may be useful in understanding the behavior of physical structures in any varied instances, where the coupled Schrodinger-KdV equation is occurred.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Analytical Solutions of Nonlinear Coupled  Schrodinger–KdV Equation via Advance Exponential Expansion
    AU  - Md. Mashiur Rahhman
    AU  - Ayrin Aktar
    AU  - Kamalesh Chandra Roy
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    DO  - 10.11648/j.ajmcm.20180303.11
    T2  - American Journal of Mathematical and Computer Modelling
    JF  - American Journal of Mathematical and Computer Modelling
    JO  - American Journal of Mathematical and Computer Modelling
    SP  - 46
    EP  - 51
    PB  - Science Publishing Group
    SN  - 2578-8280
    UR  - https://doi.org/10.11648/j.ajmcm.20180303.11
    AB  - This research work is to represent an advance exp(-Φ(ξ))-expansion method with nonlinear ordinary differential equation for constructing interacting analytical solutions of nonlinear coupled physical models arising in science and engineering. It is capable of determining all branches of interacting analytical solutions simultaneously and this difficult to discriminate with numerical technique. To verify its computational potentiality, the coupled Schrodinger-KdV equation is considered. The obtained solutions in this work reveal that the method is a very effective and easily applicable of formulating the scattered exact traveling wave solutions of many nonlinear coupled wave equations. It is investigated the scattered wave solutions may be useful in understanding the behavior of physical structures in any varied instances, where the coupled Schrodinger-KdV equation is occurred.
    VL  - 3
    IS  - 3
    ER  - 

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Author Information
  • Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh

  • Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh

  • Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh

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