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Group Analysis of Generalized Fifth-Order Korteweg–de Vries Equations with Time-Dependent Coefficients

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 111))

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Abstract

We perform enhanced Lie symmetry analysis of generalized fifth-order Korteweg–de Vries equations with time-dependent coefficients. The corresponding similarity reductions are classified and some exact solutions are constructed.

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Acknowledgements

The authors would like to thank the Organizing Committee of LT-10 and especially Prof. Vladimir Dobrev for the hospitality. O.K. and O.V. acknowledge the provided support for their participation in the Workshop. The authors are also grateful to Vyacheslav Boyko and Roman Popovych for useful discussions.

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Authors and Affiliations

  1. Petro Mohyla Black Sea State University, 10 68 Desantnykiv Street, 54003, Mykolaiv, Ukraine

    Oksana Kuriksha

  2. Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 13 Trojanova Str., 120 00, Prague, Czech Republic

    Severin Pošta

  3. Institute of Mathematics of the National Academy of Sciences of Ukraine, at 3 Tereshchenkivs’ka Street, 01601, Kyiv-4, Ukraine

    Olena Vaneeva

Authors
  1. Oksana Kuriksha
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  2. Severin Pošta
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  3. Olena Vaneeva
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Corresponding author

Correspondence to Olena Vaneeva .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria

    Vladimir Dobrev

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Kuriksha, O., Pošta, S., Vaneeva, O. (2014). Group Analysis of Generalized Fifth-Order Korteweg–de Vries Equations with Time-Dependent Coefficients. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 111. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55285-7_22

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