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Dynamics of One-Dimensional Motion of a Gas Under the Influence of Monochromatic Radiation

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Abstract

The concern with the dispersion of shock waves in perfect gas in the context of monochromatic radiation is mentioned in this manuscript. The system of Hyperbolic nonlinear partial differential equations (NLPDEs) is used to address this issue. In order to study aforementioned equations, invariance under Lie symmetry analysis is performed. Therefore, commutative relations, symmetry groups and adjoint relations are established. The optimal system of one dimensional sub-algebra is also found by utilising invariant functions. We attempted to discover the possible exact solution using symmetry reductions as per the optimal system as well as a concise study on the characteristics of the various solutions provided. We have thus identified few new exact solutions containing several arbitrary constants. To analyze the physical structures, some of the obtained exact solution are described with graphical representations. The results typically assist to investigate wave interactions in various novel localised structures and models.

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The data that support the findings of this study are available from the authors upon reasonable request.

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Acknowledgements

The authors are thankful to Prof. M. K. Verma, Department of Physics, Indian Institute of Technology Kanpur, Kanpur–208016, India for fruitful discussions. P.K.S. gratefully acknowledges financial support from the Science and Engineering Research Board (SERB), India for the research grant (grant no. TAR/2018/000150) under Teachers Associateship for Research Excellence (TARE).

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Authors and Affiliations

  1. Department of Mathematics, Graphic Era Deemed to be University, Dehradun, 248002, India

    Dig Vijay Tanwar

  2. Department of Mathematics, Government Shyama Prasad Mukharjee College, Sitapur, Chhattisgarh, 497111, India

    P. K. Sahu

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  1. Dig Vijay Tanwar
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  2. P. K. Sahu
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Correspondence to P. K. Sahu.

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Tanwar, D.V., Sahu, P.K. Dynamics of One-Dimensional Motion of a Gas Under the Influence of Monochromatic Radiation. Qual. Theory Dyn. Syst. 22, 54 (2023). https://doi.org/10.1007/s12346-023-00752-9

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