Invariants of two-dimensional systems via complex Lagrangians with applications
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Publication:718491
DOI10.1016/j.cnsns.2010.08.007zbMath1221.34086OpenAlexW2084345318MaRDI QIDQ718491
Asghar Qadir, Sajid Ali, Muhammad Farooq
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.08.007
Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items
Complex Methods for Lie Symmetry Analysis ⋮ Hypercomplex analysis and integration of systems of ordinary differential equations ⋮ Linearizability criteria for systems of two second-order differential equations by complex methods ⋮ Differential invariants of a class of Lagrangian systems with two degrees of freedom ⋮ Two-dimensional systems that arise from the Noether classification of Lagrangians on the line ⋮ Noether-like operators and first integrals for generalized systems of Lane-Emden equations ⋮ A complex Lie-symmetry approach to calculate first integrals and their numerical preservation
Cites Work
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- Linearizability of systems of ordinary differential equations obtained by complex symmetry analysis
- Lagrangian approach to a generalized coupled Lane-Emden system: symmetries and first integrals
- Variational principles for second-order quasi-linear scalar equations
- Complex Lie symmetries for scalar second-order ordinary differential equations
- Self-similar solutions of the generalized Emden-Fowler equation
- Relationship between symmetries and conservation laws
- A priori estimates for a semilinear elliptic system without variational structure and their applications
- Exact solutions of semilinear radial wave equations in \(n\) dimensions
- Non-existence of positive solutions of Lane-Emden systems
- Lagrangian formulation of a generalized Lane-Emden equation and double reduction
- The complete symmetry group of the one-dimensional time-dependent harmonic oscillator
- An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
- The inverse problem of the calculus of variations for ordinary differential equations
- Invariant variation problems
- A nonunitary version of massless quantum electrodynamics possessing a critical point
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Complex Lie Symmetries for Variational Problems
- Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
- The existence of ground states to a weakly coupled elliptic system.
