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Group Classification of Variable Coefficient KdV-like Equations

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 36))

Abstract

The exhaustive group classification of the class of KdV-like equations with time-dependent coefficients u t + uu x + g(t)u xxx + h(t)u = 0 is carried out using equivalence based approach. A simple way for the construction of exact solutions of KdV-like equations using equivalence transformations is described.

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Acknowledgements

The author thanks the Organizing Committee and especially Prof. Vladimir Dobrev for hospitality and giving an opportunity to give a talk. Her participation in the Workshop was supported by the Abdus Salam International Centre for Theoretical Physics. The author is also grateful to Prof. Roman Popovych for useful discussions and valuable comments.

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Authors and Affiliations

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

    Olena Vaneeva

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  1. Olena Vaneeva
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Correspondence to Olena Vaneeva .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Sofia, 1784, Sofiya, Bulgaria

    Vladimir Dobrev

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Vaneeva, O. (2013). Group Classification of Variable Coefficient KdV-like Equations. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 36. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54270-4_32

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