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Algebraic structures on the flows of dispersionless modified KP equation

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Abstract

In this paper, we derive the non-isospectral flows of dispersionless modified Kadomtsev–Petviashvili (dmKP) hierarchies by applying quasiclassical limit in the associated Lax equations of the mKP system. Along with the isospectral flows, we investigate the underlying infinite-dimensional Lie algebraic structure of the dmKP system through the construction of implicit flow representations. In addition to this, we also discuss the correspondence between the non-isospectral flows of dKP and dmKP hierarchies by the dispersionless Miura map.

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Acknowledgements

The authors would like to thank Prof. D J Zhang and Prof. Y Ohta for their valuable suggestions to make this manuscript in complete form.

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Authors and Affiliations

  1. Department of Mathematics, Perunthalaivar Kamarajar Institute of Engineering and Technology (PKIET), Karaikal,  609 603, India

    R Ilangovane

  2. Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam,  612 001, India

    K Krishnakumar

  3. Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry University, Kalapet,  605 014, India

    K M Tamizhmani

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  1. R Ilangovane
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  2. K Krishnakumar
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  3. K M Tamizhmani
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Ilangovane, R., Krishnakumar, K. & Tamizhmani, K.M. Algebraic structures on the flows of dispersionless modified KP equation. Pramana - J Phys 95, 207 (2021). https://doi.org/10.1007/s12043-021-02232-8

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  • DOI: https://doi.org/10.1007/s12043-021-02232-8

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