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Applications of Lump and Interaction Soliton Solutions to the Model of Liquid Crystals and Nerve Fibers

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Encyclopedia of Complexity and Systems Science

Introduction

In solitons theory, nonlinear partial differential equations (NLPDEs) are booming in many scientific fields such as ocean dynamics, plasma physics, fluid dynamics, hydrodynamics and theory of turbulence, optical fibers, chemical physics, chaos theory, and many others. Exact solutions of the nonlinear physical problems are significant and a vital topic in real life while the soliton-based algorithms are promising methods to evaluate the solutions of different nonlinear real-world problems (Kudryashov 2021; Khater et al. 2000, 2006a,b; Helal and Seadawy 2009; Rizvi et al. 2021; Tariq et al. 2021a,b; Ahmed et al. 2021; Ali et al. 2021). Previously, many scientists devoted their attention to compute the solution of NLPDEs such as: nonlocal nonlinearity (Kudryashov 2021), variational-based approach (Khater et al. 2000), He’s variational method (Khater et al. 2006a), direct algebraic technique (Khater et al. 2006b), bilinear approach (Helal and Seadawy 2009), HBM technique...

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah, Saudi Arabia

    Aly R. Seadawy

  2. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan

    Syed T. R. Rizvi & Sarfaraz Ahmed

  3. Department of Computer Science, University of the Punjab, Lahore, Pakistan

    Muhammad Younis

Authors
  1. Aly R. Seadawy
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  2. Syed T. R. Rizvi
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  3. Sarfaraz Ahmed
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  4. Muhammad Younis
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Editors and Affiliations

  1. Ramtech Ltd., Larkspur, CA, USA

    Robert A. Meyers

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Seadawy, A.R., Rizvi, S.T.R., Ahmed, S., Younis, M. (2022). Applications of Lump and Interaction Soliton Solutions to the Model of Liquid Crystals and Nerve Fibers. In: Meyers, R.A. (eds) Encyclopedia of Complexity and Systems Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27737-5_769-1

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  • DOI: https://doi.org/10.1007/978-3-642-27737-5_769-1

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  • Print ISBN: 978-3-642-27737-5

  • Online ISBN: 978-3-642-27737-5

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