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Master Symmetries of Certain Nonlinear Partial Differential Equations

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Symmetries and Singularity Structures

Part of the book series: Research Reports in Physics ((RESREPORTS))

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Abstract

In this paper, we discuss the existence of master symmetries for a class of nonlinear partial differential equations. Furthermore, we derive the associated time dependent symmetries. Finally, we analyse the Lie algebraic structure of classical, master and time-dependent symmetries.

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References

  1. M. Lakshmanan and P. Kaliappan, J. Math. Phys. 24 (1983) 795. P. J. Olver, Applications of the Lie Groups to Differential Equations ( Springer-Verlag, New York, 1986 ).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. B. Fuchssteiner, Prog. Theo. Phys. 70 (1983) 1508.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. W. Strampp and W. Oevel, Prog. Theo. Phys. 74 (1985) 922.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. A. S. Fokas and B. Fuchssteiner, Phys. Lett. 86A (1981) 341.

    Article  MathSciNet  Google Scholar 

  5. A. S. Fokas, Stud. Appl. Math. 77 (1987) 253.

    MathSciNet  MATH  Google Scholar 

  6. H. H. Chen, Y. C. Lee and J. E. Lin, Phys. 90 (1983) 439.

    MathSciNet  Google Scholar 

  7. Yi Cheng, Yi-Shen Li and R. K. Bullough, J. Phys. A21 (1988)L433.

    Google Scholar 

  8. Tu Gui-Zhang, J. Phys. A21 (1988) 1951.

    Article  MathSciNet  ADS  Google Scholar 

  9. Tian Chou, J. Phys. A20 (1987) 367.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Tian Chou and Yi-Shen Li, J. Phys. A20 (1987) 359.

    Article  ADS  Google Scholar 

  11. K. M. Tamizhmani, Geometrical, Group Theoretical and Singularity Structure Aspects of Certain Nonlinear Partial Differential Equations, Ph.D. Thesis, University of Madras (1986), unpublished

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Science, Bangalore, 560012, India

    R. Sarathy

  2. Department of Mathematics, Pondicherry University, Pondicherry, 605 104, India

    K. M. Tamizhmani

Authors
  1. R. Sarathy
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  2. K. M. Tamizhmani
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Editor information

Editors and Affiliations

  1. Department of Physics, Bharathidasan University, Palkalaiperur Campus, 620 024, Tiruchirapalli, Tamilnadu, India

    Muthuswamy Lakshmanan  & Muthiah Daniel  & 

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© 1990 Springer-Verlag Berlin Heidelberg

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Sarathy, R., Tamizhmani, K.M. (1990). Master Symmetries of Certain Nonlinear Partial Differential Equations. In: Lakshmanan, M., Daniel, M. (eds) Symmetries and Singularity Structures. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76046-4_3

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  • DOI: https://doi.org/10.1007/978-3-642-76046-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53092-3

  • Online ISBN: 978-3-642-76046-4

  • eBook Packages: Springer Book Archive

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