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Exact Solutions and Conservation Laws of the Joseph-Egri Equation with Power Law Nonlinearity

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Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 117))

Abstract

In this chapter we obtain exact solutions of the Joseph-Egri equation with power law nonlinearity, which arises in various problems in many scientific applications. The Lie group analysis and simplest equation method are used to carry out the integration of this equation. The solutions obtained are travelling wave solutions. Moreover, the conservation laws for the Joseph-Egri equation with power law nonlinearity are constructed by using the multiplier method.

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References

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Acknowledgement

Abdullahi Rashid Adem thanks the NRF for financial support. Chaudry Masood Khalique would like to thank the Organizing Committee of “International Conference: AMMCS-2013,” Waterloo, Canada for their kind hospitality during the conference.

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Authors and Affiliations

  1. Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mmabatho, Republic of South Africa

    Chaudry Masood Khalique

  2. International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho, 2735, South Africa

    Abdullahi Rashid Adem

Authors
  1. Abdullahi Rashid Adem
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  2. Chaudry Masood Khalique
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Corresponding author

Correspondence to Chaudry Masood Khalique .

Editor information

Editors and Affiliations

  1. Department of Mathematics & Statistics, University of Guelph, Guelph, Ontario, Canada

    Monica G. Cojocaru

  2. Dept of Physics and Computer Science, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Ilias S. Kotsireas

  3. Department of Mathematics and MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Roman N. Makarov

  4. Department of Mathematics & MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Roderick V. N. Melnik

  5. MS2Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada

    Hasan Shodiev

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Adem, A., Khalique, C. (2015). Exact Solutions and Conservation Laws of the Joseph-Egri Equation with Power Law Nonlinearity. In: Cojocaru, M., Kotsireas, I., Makarov, R., Melnik, R., Shodiev, H. (eds) Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science. Springer Proceedings in Mathematics & Statistics, vol 117. Springer, Cham. https://doi.org/10.1007/978-3-319-12307-3_1

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