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Periodic and solitary wave solutions of cubic–quintic nonlinear reaction-diffusion equation with variable convection coefficients

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Abstract

Attempts have been made to explore the exact periodic and solitary wave solutions of nonlinear reaction diffusion (RD) equation involving cubic–quintic nonlinearity along with time-dependent convection coefficients. Effect of varying model coefficients on the physical parameters of solitary wave solutions is demonstrated. Depending upon the parametric condition, the periodic, double-kink, bell and antikink-type solutions for cubic–quintic nonlinear reaction-diffusion equation are extracted. Such solutions can be used to explain various biological and physical phenomena.

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Acknowledgements

The authors express their gratitude to Dr Fakir Chand, Department of Physics, Kurukshetra University, Kurukshetra and Dr Amit Goyal, Department of Physics, GGDSD College, Chandigarh (India), for their valuable suggestions and cooperation in the preparation of the manuscript. The authors are also thankful to the renowned referees for several useful comments which helped in considerably improving and fine-tuning some of the ideas in the original version of the paper.

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Authors and Affiliations

  1. Department of Physics, Chaudhary Devi Lal University, Sirsa, 125 055, India

    S B BHARDWAJ & RAM MEHAR SINGH

  2. Department of Physics, J.M.I.E.T. Institute, Radaur, 132 133, India

    S B BHARDWAJ

  3. Department of Mathematics, National Institute of Technology, Delhi, 110 040, India

    KUSHAL SHARMA

  4. Department of Physics, Kurukshetra University, Kurukshetra, 136 119, India

    S C MISHRA

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  1. S B BHARDWAJ
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  2. RAM MEHAR SINGH
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  3. KUSHAL SHARMA
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  4. S C MISHRA
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Correspondence to S B BHARDWAJ.

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BHARDWAJ, S.B., SINGH, R.M., SHARMA, K. et al. Periodic and solitary wave solutions of cubic–quintic nonlinear reaction-diffusion equation with variable convection coefficients. Pramana - J Phys 86, 1253–1258 (2016). https://doi.org/10.1007/s12043-015-1177-3

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  • DOI: https://doi.org/10.1007/s12043-015-1177-3

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