Found 42 Documents (Results 1–42)
On a geometric description of time-dependent singular Lagrangians with applications to biological systems. (English) Zbl 07908946
Generalized symmetries, first integrals, and exact solutions of chains of differential equations. (English) Zbl 07888198
Symbolic computation algorithms for second-order ODEs by using two \(\lambda\)-symmetries. (English) Zbl 07444932
Muriel, Concepción (ed.) et al., Recent advances in differential equations and control theory. Selected papers based on the presentations at the minisymposium as part of the 9th international congress on industrial and applied mathematics, ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 9, 65-82 (2021).
MSC:
68Wxx
The group-theoretical analysis of nonlinear optimal control problems with Hamiltonian formalism. (English) Zbl 1436.70003
Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: the \(S\)-function method. (English) Zbl 07682614
On the interconnections between various analytic approaches in coupled first-order nonlinear differential equations. (English) Zbl 1470.34102
MSC:
34C14
Generalized conformal Hamiltonian dynamics and the pattern formation equations. (English) Zbl 1464.70011
On time-dependent Hamiltonian realizations of planar and nonplanar systems. (English) Zbl 1418.37088
Last multipliers for Riemannian geometries, Dirichlet forms and Markov diffusion semigroups. (English) Zbl 1390.53026
The inverse problem of a mixed Liénard-type nonlinear oscillator equation from symmetry perspective. (English) Zbl 1358.70022
Symmetries and reductions of order for certain nonlinear third- and second-order differential equations with arbitrary nonlinearity. (English) Zbl 1332.34073
Reviewer: Charis Harley (Johannesburg)
Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approaches. (English) Zbl 1308.35049
Commun. Nonlinear Sci. Numer. Simul. 20, No. 2, 375-388 (2015); corrigendum ibid. 114, Article ID 106592, 2 p. (2022).
Quantization of quadratic Liénard-type equations by preserving Noether symmetries. (English) Zbl 1320.34057
Damped equations of Mathieu type. (English) Zbl 1364.34044
MSC:
34C15
Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equations. (English) Zbl 1359.34004
Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2163, Article ID 20130656, 20 p. (2014).
Reviewer: Maite Grau (Lleida)
\(\lambda\)-symmetries for the reduction of continuous and discrete equations. (English) Zbl 1267.34061
Reviewer: Ricardo Miranda Martins (Campinas)
Many conserved quantities induced by Lie symmetries of a Lagrangian system. (English) Zbl 1242.70026
The quantization of a fourth-order equation without a second-order Lagrangian. (English) Zbl 1217.34060
Lagrangians for dissipative nonlinear oscillators: the method of Jacobi last multiplier. (English) Zbl 1206.34013
Reviewer: Alexey Remizov (Trieste)
Lagrangians for equations of Painlevé type by means of the Jacobi last multiplier. (English) Zbl 1362.49021
An old method of Jacobi to find Lagrangians. (English) Zbl 1205.34011
Reviewer: F. M. Mahomed (Johannesburg)
Seeking (and finding) Lagrangians. (English. Russian original) Zbl 1175.70017
Theor. Math. Phys. 160, No. 1, 1014-1021 (2009); translation from Teor. Mat. Fiz. 160, No. 1, 168-177 (2009).
Last multipliers on Lie algebroids. (English) Zbl 1252.70038
MSC:
70G65
Group analysis and heir-equations of a mathematical model for thin liquid films. (English) Zbl 1167.58020
Singularity analysis and integrability of a simplified multistrain model for the transmission of tuberculosis and dengue fever. (English) Zbl 1169.34004
Reviewer: Vladimir L. Makarov (Kyïv)
Lagrangians galore. (English) Zbl 1153.81413
MSC:
70H03
Jacobi’s last multiplier, Lie symmetries, and hidden linearity: “goldfishes” galore. (English. Russian original) Zbl 1137.70010
Theor. Math. Phys. 151, No. 3, 851-862 (2007); translation from Teor. Mat. Fiz. 151, No. 3, 495-509 (2007).
Fuchs’ solution of Painlevé VI equation by means of Jacobi’s last multiplier. (English) Zbl 1121.33021
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