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Exact Solutions for Generalized KdV Equations with Variable Coefficients Using the Equivalence Method

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Lie Theory and Its Applications in Physics (LT 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 191))

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Abstract

Using an example of variable-coefficient KdV equations we compare effectiveness of the “equivalence method” and the “extended mapping transformation method”. It is shown that the “equivalence method” is more efficient. A formula for generation of exact solutions for variable-coefficient KdV equations is derived.

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Acknowledgements

O. Braginets (née Kuriksha) is grateful to the Organizing Committee of LT-11 for the hospitality and support.

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Authors and Affiliations

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

    Oksana Braginets

  2. Vadym Hetman Kyiv National Economic University, 54/1 Prospect Peremogy, Kyiv, 03680, Ukraine

    Olena Magda

Authors
  1. Oksana Braginets
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  2. Olena Magda
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Corresponding author

Correspondence to Oksana Braginets .

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Editors and Affiliations

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

    Vladimir Dobrev

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Braginets, O., Magda, O. (2016). Exact Solutions for Generalized KdV Equations with Variable Coefficients Using the Equivalence Method. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2015. Springer Proceedings in Mathematics & Statistics, vol 191. Springer, Singapore. https://doi.org/10.1007/978-981-10-2636-2_26

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