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Lie symmetries, group classification and conserved quantities of dispersionless Manakov–Santini system in (2+1)-dimension

Author

Listed:
  • Manjit Singh

    (Punjabi University)

  • Shou-Fu Tian

    (China University of Mining and Technology)

Abstract

A member of Manakov–Santini (MS) hierarchy is investigated in this work using Lie group analysis and the multiplier approach. The admitted 11-dimensional Lie algebra for the MS system has been proved to be completely solvable on basis of the existence of chain of ideals. The optimal list of inequivalent one-dimensional subalgebras are constructed from adjoint actions collected in a table. The method for construction of similar list in 2-dimension has also been discussed in detail. The subalgebras so obtained are used to give out several inequivalent reductions and subsequently some exact solutions are reported. In addition to usual Lie symmetry analysis, the infinite set of non-trivial conservation laws are obtained.

Suggested Citation

  • Manjit Singh & Shou-Fu Tian, 2023. "Lie symmetries, group classification and conserved quantities of dispersionless Manakov–Santini system in (2+1)-dimension," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(2), pages 312-329, June.
    • Handle: RePEc:spr:indpam:v:54:y:2023:i:2:d:10.1007_s13226-022-00255-4
    DOI: 10.1007/s13226-022-00255-4
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    References listed on IDEAS

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    1. Sil, Subhankar & Raja Sekhar, T. & Zeidan, Dia, 2020. "Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Satapathy, Purnima & Raja Sekhar, T., 2018. "Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 107-116.
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