Factorization technique and isochronous condition for coupled quadratic and mixed Liénard-type nonlinear systems
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M. Lakshmanan | V. K. Chandrasekar | S. N. Pandey | Ajey K. Tiwari | M. Lakshmanan | S. Pandey | A. K. Tiwari
[1] M. Nucci,et al. Noether symmetries and the quantization of a Liénard-type nonlinear oscillator , 2013, Journal of Nonlinear Mathematical Physics.
[2] M. Lakshmanan,et al. Lie point symmetries classification of the mixed Liénard-type equation , 2015 .
[3] M. C. Nucci,et al. Quantization of quadratic Li\'enard-type equations by preserving Noether symmetries , 2014, 1406.0192.
[4] M. Lakshmanan,et al. Erratum: “Classification of Lie point symmetries for quadratic Liénard type equation ẍ+f(x)ẋ2+g(x)=0” [J. Math. Phys. 54, 053506 (2013)] , 2014 .
[5] M. Lakshmanan,et al. On the complete Lie point symmetries classification of the mixed quadratic-linear Li$\acute{\textbf{e}}$nard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)\dot{x}+h(x)=0$ , 2014, 1402.3407.
[6] M. Lakshmanan,et al. Classification of Lie point symmetries for quadratic Li$\acute{\textbf{e}}$nard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ , 2013, 1302.0350.
[7] V. K. Chandrasekar,et al. On the complete integrability of a nonlinear oscillator from group theoretical perspective , 2012, 1207.4945.
[8] Exact solutions of coupled Liénard-type nonlinear systems using factorization technique , 2012, 1201.5931.
[9] J. Strelcyn,et al. Isochronicity conditions for some planar polynomial systems II , 2011 .
[10] J. L. Romero,et al. First integrals, integrating factors and λ-symmetries of second-order differential equations , 2009 .
[11] J. Strelcyn,et al. Isochronicity conditions for some planar polynomial systems , 2009, 1005.5048.
[12] V. K. Chandrasekar,et al. Nonstandard conserved Hamiltonian structures in dissipative/damped systems: Nonlinear generalizations of damped harmonic oscillator , 2009 .
[13] M. Lakshmanan,et al. On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[14] Zdzislaw E. Musielak,et al. Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients , 2008 .
[15] V. K. Chandrasekar,et al. On the complete integrability and linearization of nonlinear ordinary differential equations. IV. Coupled second-order equations , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[16] Hongbo Li,et al. Single and multi-solitary wave solutions to a class of nonlinear evolution equations , 2008 .
[17] Z E Musielak. Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients , 2008 .
[18] M Berkovich Lev,et al. METHOD OF FACTORIZATION OF ORDINARY DIFFERENTIAL OPERATORS AND SOME OF ITS APPLICATIONS , 2007 .
[19] H. Rosu,et al. Traveling-Wave Solutions for Korteweg–de Vries–Burgers Equations through Factorizations , 2006, math-ph/0604004.
[20] M Senthilvelan,et al. On the complete integrability and linearization of nonlinear ordinary differential equations. II. Third-order equations , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[21] H. Rosu,et al. Riccati-parameter solutions of nonlinear second-order ODEs , 2005, math-ph/0510072.
[22] H. Rosu,et al. Nonlinear Second Order Ode's: Factorizations and Particular Solutions , 2005, math-ph/0504055.
[23] H. Rosu,et al. Supersymmetric pairing of kinks for polynomial nonlinearities. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[24] B. Mielnik,et al. Factorization: little or great algorithm? , 2004 .
[25] A. Chouikha. Isochronous centers of Lienard type equations and applications , 2004, math/0410022.
[26] J. Cariñena,et al. One-dimensional model of a quantum nonlinear harmonic oscillator , 2004, hep-th/0501106.
[27] M. Senthilvelan,et al. A non-linear oscillator with quasi-harmonic behaviour: two- and n-dimensional oscillators , 2004, math-ph/0406002.
[28] M. Sabatini. On the period function of x″+f(x)x′2+g(x)=0 , 2004 .
[29] E. Kamke. Differentialgleichungen : Lösungsmethoden und Lösungen , 1977 .
[30] M. Lakshmanan,et al. On a unique nonlinear oscillator , 1974 .
[31] T. E. Hull,et al. The factorization method , 1951 .