The Journal of the Indian Mathematical Society

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Similarity Solutions of Non-Autonomous Lienard Type Equations


Affiliations
1 Department of Mathematics, Shivaji University, Kolhapur (M.S.) 416 004, India
     

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In this paper, we obtain similarity solutions of non-autonomous Lienard type equation. First integrals of Lienard type equations are obtained by non-holonomic transformations and these rst integrals are integrated by Lie group analysis.

Keywords

Lienard Type Equation, Lie Group Symmetry, Non-Linear Oscillators, Non-Holonomic Transformation.
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  • Similarity Solutions of Non-Autonomous Lienard Type Equations

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Authors

Ashwini Kulkarni
Department of Mathematics, Shivaji University, Kolhapur (M.S.) 416 004, India
Sarita Thakar
Department of Mathematics, Shivaji University, Kolhapur (M.S.) 416 004, India

Abstract


In this paper, we obtain similarity solutions of non-autonomous Lienard type equation. First integrals of Lienard type equations are obtained by non-holonomic transformations and these rst integrals are integrated by Lie group analysis.

Keywords


Lienard Type Equation, Lie Group Symmetry, Non-Linear Oscillators, Non-Holonomic Transformation.

References