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Soliton solutions, stability analysis and conservation laws for the brusselator reaction diffusion model with time- and constant-dependent coefficients

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Abstract.

This paper studies the brusselator reaction diffusion model (BRDM) with time- and constant-dependent coefficients. The soliton solutions for BRDM with time-dependent coefficients are obtained via first integral (FIM), ansatz, and sine-Gordon expansion (SGEM) methods. Moreover, it is well known that stability analysis (SA), symmetry analysis and conservation laws (CLs) give several information for modelling a system of differential equations (SDE). This is because they can be used for investigating the internal properties, existence, uniqueness and integrability of different SDE. For this reason, we investigate the SA via linear stability technique, symmetry analysis and CLs for BRDM with constant-dependent coefficients in order to extract more physics and information on the governing equation. The constraint conditions for the existence of the solutions are also examined. The new solutions obtained in this paper can be useful for describing the concentrations of diffusion problems of the BRDM. It is shown that the examined dependent coefficients are some of the factors that are affecting the diffusion rate. So, the present paper provides much motivational information in comparison to the existing results in the literature.

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Authors and Affiliations

  1. Firat University, Science Faculty, Department of Mathematics, 23119, Elazig, Turkey

    Mustafa Inc, Abdullahi Yusuf & Aliyu Isa Aliyu

  2. Federal University Dutse, Science Faculty, Department of Mathematics, 7156, Jigawa, Nigeria

    Abdullahi Yusuf & Aliyu Isa Aliyu

  3. Department of Mathematics, Science Faculty, University of Bonab, 55517-61167, Bonab, Iran

    M. S. Hashemi

Authors
  1. Mustafa Inc
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  2. Abdullahi Yusuf
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  3. Aliyu Isa Aliyu
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  4. M. S. Hashemi
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Correspondence to Abdullahi Yusuf.

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Inc, M., Yusuf, A., Isa Aliyu, A. et al. Soliton solutions, stability analysis and conservation laws for the brusselator reaction diffusion model with time- and constant-dependent coefficients. Eur. Phys. J. Plus 133, 168 (2018). https://doi.org/10.1140/epjp/i2018-11989-8

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