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

Md. Mashiur Rahhman; Ayrin Aktar; Kamalesh Chandra Roy

doi:doi:10.11648/j.ajmcm.20180303.11

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

Md. Mashiur Rahhman, Ayrin Aktar, Kamalesh Chandra Roy

Published in American Journal of Mathematical and Computer Modelling (Volume 3, Issue 3)

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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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
Y1  - 2019/02/18
PY  - 2019
N1  - https://doi.org/10.11648/j.ajmcm.20180303.11
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

Md. Mashiur Rahhman

Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh
Ayrin Aktar

Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh
Kamalesh Chandra Roy

Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh

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Plain Text BibTeX RIS

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

Copy | Download

@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}
}

Copy | Download

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
Y1  - 2019/02/18
PY  - 2019
N1  - https://doi.org/10.11648/j.ajmcm.20180303.11
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  -

Copy | Download