Found 51 Documents (Results 1–51)
An optimal system of Lie subalgebras and group-invariant solutions with conserved currents of a \((3+1)\)-D fifth-order nonlinear model I with applications in electrical electronics, chemical engineering and pharmacy. (English) Zbl 1523.35253
Dynamical soliton wave structures of one-dimensional Lie subalgebras via group-invariant solutions of a higher-dimensional soliton equation with various applications in ocean physics and mechatronics engineering. (English) Zbl 1513.35034
Symmetry solutions and conserved vectors for a generalized short pulse equation. (English) Zbl 1490.35019
Symmetry analysis and conservation laws of a family of Boussinesq equations. (English) Zbl 1503.35011
Luo, Albert C. J. (ed.) et al., Symmetries and applications of differential equations. In memory of Nail H. Ibragimov (1939–2018). Beijing: Higher Education Press; Singapore: Springer. Nonlinear Phys. Sci., 153-171 (2021).
Plane steady vortex submodel of ideal gas. (English. Russian original) Zbl 1506.76152
J. Appl. Mech. Tech. Phys. 62, No. 4, 600-615 (2021); translation from Prikl. Mekh. Tekh. Fiz. 62, No. 5, 88-104 (2021).
Group classification and symmetry reduction of three-dimensional nonlinear anomalous diffusion equation. (Russian. English summary) Zbl 1463.35497
Ufim. Mat. Zh. 11, No. 4, 14-28 (2019); translation in Ufa Math. J. 11, No. 4, 13-26 (2019).
Exact solutions of stationary equations of ideal magnetohydrodynamics in the natural coordinate system. (English. Russian original) Zbl 1418.76057
J. Appl. Mech. Tech. Phys. 60, No. 2, 234-247 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 2, 58-73 (2019).
MSC:
76W05
On symmetries and conservation laws for a generalized Fisher-Kolmogorov-Petrovsky-Piskunov equation. (English) Zbl 1414.35012
Macau, Elbert E. N. (ed.), A mathematical modeling approach from nonlinear dynamics to complex systems. Cham: Springer. Nonlinear Syst. Complex. 22, 27-50 (2019).
Vortex steady planar entropic flows of ideal gases. (English. Russian original) Zbl 1411.37065
J. Math. Sci., New York 236, No. 6, 679-686 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 137, 97-103 (2017).
Graf of embedded subalgebras of 11-dimensional symmetry algebra for continuous medium. (Russian. English summary) Zbl 1414.35013
On optimal system, exact solutions and conservation laws of the modified equal-width equation. (English) Zbl 1524.35109
Lie symmetries, group-invariant solutions and conservation laws of the Vasicek pricing equation of mathematical finance. (English) Zbl 1514.91187
Comprehensive analysis of the symmetries and conservation laws of the geodesic equations for a particular string inspired FRLW solution. (English) Zbl 1473.83080
Classical symmetries, travelling wave solutions and conservation laws of a generalized Fornberg-Whitham equation. (English) Zbl 1356.35078
Group analysis of a quasilinear equation. (Russian. English summary) Zbl 1464.35009
Symmetry reduction and invariant solutions for nonlinear fractional diffusion equation with a source term. (Russian. English summary) Zbl 1463.35504
Ufim. Mat. Zh. 8, No. 4, 114-126 (2016); translation in Ufa Math. J. 8, No. 4, 111-122 (2016).
Lie symmetry reductions and exact solutions of an option-pricing equation for large agents. (English) Zbl 1344.35153
Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions. (English. Russian original) Zbl 1342.35207
Theor. Math. Phys. 186, No. 2, 183-191 (2016); translation from Teor. Mat. Fiz. 186, No. 2, 221-229 (2016).
Optimal system of subalgebras of the direct sum of two ideals \(\mathfrak{aff}(\mathbb{R})\oplus \mathfrak{sl}(2,\mathbb{R})\). (Russian, English) Zbl 1349.17011
Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 15, No. 2, 90-96 (2015); translation in J. Math. Sci., New York 215, No. 4, 537-542 (2016).
The new Lie point reductions and similarity solutions for the Gordon-type equation of the Milne metric. (English) Zbl 1321.35238
Reviewer: Thomas Ernst (Uppsala)
Optimal system for the sum of two ideals admitted by the hydrodynamic type equations. (Russian. English summary) Zbl 1374.76189
Reviewer: Boris V. Loginov (Ul’yanovsk)
Inserted invariant submodels for motion of monatomic gas. (Russian. English summary) Zbl 1329.35030
Computation of partially invariant solutions for the Einstein Walker manifolds’ identifying equations. (English) Zbl 1344.35006
MSC:
35A30
Optimal system of Lie algebra subalgebras of the point symmetries group for nonlinear heat equation without source. (Russian. English summary) Zbl 1299.35178
Reviewer: Boris V. Loginov (Ul’yanovsk)
Approximate symmetry analysis of a class of perturbed nonlinear reaction-diffusion equations. (English) Zbl 1295.35024
Symmetry reductions, exact solutions, and conservation laws of a modified Hunter-Saxton equation. (English) Zbl 1293.35015
A hierarchy of submodels of differential equations. (English. Russian original) Zbl 1284.35029
Sib. Math. J. 54, No. 6, 1110-1119 (2013); translation from Sib. Mat. Zh. 54, No. 6, 1396-1406 (2013).
Gasdynamics equations submodels hierarchy in case of state equation with separated density. (Russian. English summary) Zbl 1330.76121
Symmetries and exact solutions of the model of dynamic convection of the sea. (Russian. English summary) Zbl 1299.35014
Reviewer: Svetlana A. Grishina (Ul’yanovsk)
An optimal system of subalgebras admitted by gas dynamic equations in the case of a state equation with separated density. (Russian. English summary) Zbl 1329.76299
A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations. (English) Zbl 1221.35038
Unsteady solutions of Euler equations generated by steady solutions. (English) Zbl 1210.22018
Reviewer: Lubomira Softova (Aversa)
Invariant solutions of the special model of fluids with internal inertia. (English) Zbl 1221.76171
MSC:
76M60
Applications of group analysis to the three-dimensional equations of fluids with internal inertia. (English) Zbl 1221.76174
Group classification of one-dimensional equations of fluids with internal inertia. (English) Zbl 1388.76323
Symmetry analysis of \((2+1)\) dimensional Doebner-Goldin equations. (English) Zbl 1094.35016
Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 282-289 (2004).
Reviewer: I. Yehorchenko (Kyïv)
Optimal systems of symmetry subalgebras for big models of gasdynamics. (English) Zbl 1050.37043
Reviewer: V. Grebenev (Novosibirsk)
Optimal systems and invariant solutions for the curve shortening problem. (English) Zbl 1029.53080
Reviewer: Boris V.Loginov (Ulyanovsk)
The symmetry reductions of a turbulence model. (English) Zbl 1002.35009
Reviewer: Boris V.Loginov (Ulyanovsk)
Group analysis and invariant solutions of the von Kármán equations. (Russian. English summary) Zbl 0988.35013
Reviewer: Boris V.Loginov (Ulyanovsk)
Exact solutions to the one-dimensional Russo–Smereka kinetic equation. (English. Russian original) Zbl 0967.76090
Prikl. Mekh. Tekh. Fiz. 41, No. 4, 21-32 (2000); translation in J. Appl. Mech. Tech. Phys. 41, No. 4, 593-603 (2000).
Reviewer: V.I.Pinchukov (Novosibirsk)
A submodel of helical motions in gas dynamics. (English. Russian original) Zbl 0885.76087
J. Appl. Math. Mech. 60, No. 1, 47-59 (1996); translation from Prikl. Mat. Mekh. 60, No. 1, 53-65 (1996).
The “PODMODELI” program. Gas dynamics. (English. Russian original) Zbl 0890.76070
J. Appl. Math. Mech. 58, No. 4, 601-627 (1994); translation from Prikl. Mat. Mekh. 58, No. 4, 30-55 (1994).
On optimal systems of subalgebras. (English. Russian original) Zbl 0827.17007
Russ. Acad. Sci., Dokl., Math. 48, No. 3, 645-649 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 6, 702-704 (1993).
Reviewer: P.Grushko (Irkutsk)
The group analysis algorithms. (English) Zbl 0832.35004
Ibragimov, N. Kh. (ed.) et al., Modern group analysis: Advanced analytical and computational methods in mathematical physics. Proceedings of the international workshop Acireale, Catania, Italy, October 27-31, 1992. Dordrecht: Kluwer Academic Publishers. 277-289 (1993).
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