Comparison of different approaches to construct first integrals for ordinary differential equations
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Publication:1725442
DOI10.1155/2014/978636zbMath1453.34021OpenAlexW2084550030WikidataQ59043272 ScholiaQ59043272MaRDI QIDQ1725442
Rehana Naz, Igor Leite Freire, Imran Naeem
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/978636
Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
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Uses Software
Cites Work
- On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models
- New classes of nonlinearly self-adjoint evolution equations of third- and fifth-order
- Conservation laws for some compacton equations using the multiplier approach
- On the Lane-Emden system in dimension one
- Conservation laws of some physical models via symbolic package GeM
- First integrals for two linearly coupled nonlinear Duffing oscillators
- Generalization of the double reduction theory
- Conservation laws for a complexly coupled KdV system, coupled Burgers system and Drinfeld-Sokolov-Wilson system via multiplier approach
- Double reduction of a nonlinear \((2+1)\) wave equation via conservation laws
- Double reduction of PDEs from the association of symmetries with conservation laws with applications
- A new conservation theorem
- Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations
- Invariance and first integrals of continuous and discrete Hamiltonian equations
- Conservation laws and conserved quantities for laminar two-dimensional and radial jets
- On double reductions from symmetries and conservation laws
- Lie-Bäcklund and Noether symmetries with applications
- Non-local symmetries and conservation laws for one-dimensional gas dynamics equations.
- Relationship between symmetries and conservation laws
- Conservation laws and exact solutions of a class of non linear regularized long wave equations via double reduction theory and Lie symmetries
- Quasi self-adjointness of a class of third order nonlinear dispersive equations
- Reductions and new exact solutions of ZK, Gardner KP, and modified KP equations via generalized double reduction theorem
- Nonlinear self-adjointness, conservation laws, exact solutions of a system of dispersive evolution equations
- Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
- Noether, partial Noether operators and first integrals for a linear system
- Integrating factors, adjoint equations and Lagrangians
- The association of non-local symmetries with conservation laws: applications to the heat and Burgers' equations
- Lie and Noether symmetries for a class of fourth-order Emden–Fowler equations
- Lie symmetries and Noether symmetries
- Harmonic balance approach to periodic solutions of non-linear jerk equations
- Harmonic balance approach to limit cycles for nonlinear jerk equations
- Self-adjointness and conservation laws of a generalized Burgers equation
- Weak self-adjoint differential equations
- Quasi self-adjoint nonlinear wave equations
- Nonlinear self-adjointness and conservation laws
- First integrals for a general linear system of two second-order ODEs via a partial Lagrangian
- Invariant variation problems
- Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem
- Integrating factors and first integrals for ordinary differential equations
- Partial Noether Operators and First Integrals for a System with two Degrees of Freedom
- Symmetry group classification of ordinary differential equations: Survey of some results
- Partial Noether operators and first integrals via partial Lagrangians
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