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Some exact wave solutions of nonlinear partial differential equations by means of comparison with certain standard ordinary differential equations

Mathematical methods in the applied sciences, 2022-11, Vol.45 (16), p.9297-9307

2022

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On the Jacobi Last Multiplier, integrating factors and the Lagrangian formulation of differential equations of the Painlevé–Gambier classification

Journal of mathematical analysis and applications, 2009-12, Vol.360 (2), p.651-664

2009

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On quantized Liénard oscillator and momentum dependent mass

Journal of mathematical physics, 2015-01, Vol.56 (1)

2015

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Folding transformations of equations from the Gambier family

Communications in nonlinear science & numerical simulation, 2015-05, Vol.22 (1-3), p.1028-1035

2015

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Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function

European physical journal plus, 2021-02, Vol.136 (2), p.226, Article 226

2021

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Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: Phase-plane, multi-infinite series and variational approaches

Communications in nonlinear science & numerical simulation, 2015-02, Vol.20 (2), p.375-388

2015

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THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS

Reviews in mathematical physics, 2013-07, Vol.25 (6), p.1330009

2013

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On isochronous cases of the Cherkas system and Jacobi's last multiplier

Journal of physics. A, Mathematical and theoretical, 2010-03, Vol.43 (12), p.125202-125202

2010

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Solitary wave solutions of nonlinear PDEs using Kudryashov's R function method

Journal of modern optics, 2020-11, Vol.67 (19), p.1499-1507

2020

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Solitary wave characteristics in nonlinear dispersive media: a conformable fractional derivative approach

Nonlinear dynamics, 2022-10, Vol.110 (2), p.1777-1788

2022

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The Jacobi last multiplier, Lagrangian and Hamiltonian for Levinson–Smith type equations

Physica scripta, 2024-01, Vol.99 (1), p.15237

2024

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On conservation laws, their applications in stability analysis and chirped solitary wave solutions for the generalized Schrödinger–Hirota equation and its reductions

Physica scripta, 2024-03, Vol.99 (3), p.35232

2024

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Lax representation and a quadratic rational first integral for second-order differential equations with cubic nonlinearity

Communications in nonlinear science & numerical simulation, 2022-09, Vol.112, p.106553, Article 106553

2022

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On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system

Communications in nonlinear science & numerical simulation, 2012-11, Vol.17 (11), p.4053-4063

2012

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Symplectic rectification and isochronous Hamiltonian systems

Journal of physics. A, Mathematical and theoretical, 2009-05, Vol.42 (19), p.192001-192001 (6)

2009

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A Lagrangian description of the higher-order Painlevé equations

Applied mathematics and computation, 2012-02, Vol.218 (11), p.6612-6619

2012

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On a geometric description of time-dependent singular Lagrangians with applications to biological systems

International journal of geometric methods in modern physics, 2022-09, Vol.19 (11)

2022

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Emergence of the Gambier equation in cosmology

Modern physics letters A, 2023-02, Vol.38 (5)

2023

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Isochronicity Conditions and Lagrangian Formulations of the Hirota Type Oscillator Equations

Qualitative theory of dynamical systems, 2022-12, Vol.21 (4), Article 144

2022

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Branched Hamiltonians and time translation symmetry breaking in equations of the Liénard type

Modern physics letters A, 2019-10, Vol.34 (32), p.1950263

2019

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Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics

Journal of nonlinear science, 2024-12, Vol.34 (6), Article 108

2024

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Hamiltonian description of nonlinear curl forces from cofactor systems

Acta mechanica, 2019-06, Vol.230 (6), p.2267-2277

2019

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Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation

Discrete and continuous dynamical systems. Series B, 2017-08, Vol.22 (6), p.2465-2478

2017

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Nonlocal transformations of the generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems

International journal of geometric methods in modern physics, 2019-07, Vol.16 (7), p.1950107

2019

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Hamiltonization of Higher-Order Nonlinear Ordinary Differential Equations and the Jacobi Last Multiplier

Acta applicandae mathematicae, 2011-11, Vol.116 (2), p.179-197

2011

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Some exact wave solutions of nonlinear partial differential equations by means of comparison with certain standard ordinary differential equations

On the Jacobi Last Multiplier, integrating factors and the Lagrangian formulation of differential equations of the Painlevé–Gambier classification

On quantized Liénard oscillator and momentum dependent mass

Folding transformations of equations from the Gambier family

Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function

Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: Phase-plane, multi-infinite series and variational approaches

THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS

On isochronous cases of the Cherkas system and Jacobi's last multiplier

Solitary wave solutions of nonlinear PDEs using Kudryashov's R function method

Solitary wave characteristics in nonlinear dispersive media: a conformable fractional derivative approach

The Jacobi last multiplier, Lagrangian and Hamiltonian for Levinson–Smith type equations

On conservation laws, their applications in stability analysis and chirped solitary wave solutions for the generalized Schrödinger–Hirota equation and its reductions

Lax representation and a quadratic rational first integral for second-order differential equations with cubic nonlinearity

On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system

Symplectic rectification and isochronous Hamiltonian systems

A Lagrangian description of the higher-order Painlevé equations

On a geometric description of time-dependent singular Lagrangians with applications to biological systems

Emergence of the Gambier equation in cosmology

Isochronicity Conditions and Lagrangian Formulations of the Hirota Type Oscillator Equations

Branched Hamiltonians and time translation symmetry breaking in equations of the Liénard type

Levinson–Smith Dissipative Equations and Geometry of GENERIC Formalism and Contact Hamiltonian Mechanics

Hamiltonian description of nonlinear curl forces from cofactor systems

Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation

Nonlocal transformations of the generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems

Hamiltonization of Higher-Order Nonlinear Ordinary Differential Equations and the Jacobi Last Multiplier

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