Found 197 Documents (Results 1–100)
Symplectic method-based analytical solutions of thermal buckling for shear deformable circular functionally graded plates. (English) Zbl 1535.74156
Delay ordinary and partial differential equations. (English) Zbl 1540.34003
Advances in Applied Mathematics (Boca Raton). Boca Raton, FL: CRC Press (ISBN 978-0-367-48691-4/hbk; 978-1-032-54986-6/pbk; 978-1-003-04231-0/ebook). xviii, 415 p. (2024).
Reviewer: Mustapha Yebdri (Tlemcen)
Quantifying population dynamics via a geometric mean predator-prey model. (English) Zbl 1542.92107
Reviewer: Jian-Wen Sun (Lanzhou)
About heat wave in a semi-infinite rod with a boundary condition periodically changing in time. (English. Russian original) Zbl 1536.35169
J. Math. Sci., New York 277, No. 4, 619-627 (2023); translation from Zap. Nauchn. Semin. POMI 493, 218-231 (2020).
Differential varieties, physics and topological invariants. (Variétés différentielles, physique et invariants topologiques.) (French) Zbl 07720947
Les Ulis: EDP Sciences (ISBN 978-2-7598-3142-5/pbk). 372 p. (2023).
Reviewer: Ahmed Lesfari (El Jadida)
Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method. (English) Zbl 1525.74073
Two-dimensional heat conduction in a rigid thermal conductor within the dual-phase-lag model by one-sided Fourier transform. (English) Zbl 1502.74029
Analytical solution of one-dimensional nonlinear conformable fractional telegraph equation by reduced differential transform method. (English) Zbl 1497.65202
Analytical solutions to two-dimensional nonlinear telegraph equations using the conformable triple Laplace transform iterative method. (English) Zbl 1497.65201
Orbits of light rays in (1+2)-dimensional Einstein-Power-Maxwell gravity: exact analytical solution to the null geodesic equations. (English) Zbl 1500.83030
Exploring new features for the perturbed Chen-Lee-Liu model via \((m+\frac{1}{G'})\)-expansion method. (English) Zbl 1490.35077
New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform. (English) Zbl 1499.34074
A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions. (English) Zbl 07776068
Analytical diffusion wave-type solutions to a nonlinear parabolic system with cylindrical and spherical symmetry. (English) Zbl 1479.35177
Exact analytical solution of a mechanical oscillator for phase transition involving spatially inhomogeneous distribution of the order parameter. (English) Zbl 1481.34004
Analytical and approximate trigonometric solution to Duffing-Helmholtz equation. (English) Zbl 1469.34004
Quasi-homologous evolution of relativistic stars. (English) Zbl 1476.83021
Reviewer: P. K. Sahoo (Hyderabad)
Exact boundaries for the analytical approximate solution of a class of first-order nonlinear differential equations in the real domain. (English) Zbl 1488.35014
The equilibrium state of a hollow transversally-isotropic thick-walled sphere, which is fixed on the external surfaces and is subject to a uniform internal lateral pressure and weight forces. (Russian. English summary) Zbl 1488.74025
Closed form solutions for an anisotropic composite beam on a two-parameter elastic foundation. (English) Zbl 1475.74077
An exact solution to the problem of biaxial loading of a micropolar elastic plate made by joining two prestrained arc-shaped layers under large strains. (English) Zbl 1484.74055
Differential transform method for the solutions to some initial value problems in chemistry. (English) Zbl 1470.34006
Matrix-valued Bratu equation and the exact solution of its initial value problem. (English) Zbl 1493.34008
Exact analytical solution for an Israel-Stewart cosmology. (English) Zbl 1450.83007
Reviewer: P. K. Sahoo (Hyderabad)
Electrically charged strange quark stars with anisotropic matter: exact analytical solution. (English) Zbl 1508.85001
Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation. (English) Zbl 1437.35136
Charged slowly rotating toroidal black holes in the \((1 + 3)\)-dimensional Einstein-power-Maxwell theory. (English) Zbl 1431.83105
Recent developments of the methodology of the modified method of simplest equation with application. (English) Zbl 1449.35171
Reviewer: Angela Slavova (Sofia)
MSC:
35E20
Construction of solutions for an integrable differential-difference equation by Darboux-Bäcklund transformation. (English) Zbl 1428.34005
A new method to obtain either first- or second-order reductions for parametric polynomial ODEs. (English) Zbl 1418.34025
Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain. (English) Zbl 1535.83015
Maximal Kerr-de Sitter spacetimes. (English) Zbl 1431.83012
Classical Quantum Gravity 35, No. 21, Article ID 215006, 38 p. (2018); corrigendum ibid. 39, No. 21, Article ID 219501, 4 p. (2022).
Stratified laminar flows in a circular pipe: new analytical solutions in terms of elementary functions. (English) Zbl 1480.76027
MSC:
76D05
First integral method for non-linear differential equations with conformable derivative. (English) Zbl 1458.35463
Acoustic wave propagation through a plate fixed on a rigid frame via elastic spacers and located between two barriers. (English. Russian original) Zbl 1461.74027
J. Appl. Mech. Tech. Phys. 59, No. 4, 733-746 (2018); translation from Prikl. Mekh. Tekh. Fiz. 59, No. 4, 179-194 (2018).
Exact traveling wave solutions of one-dimensional parabolic-parabolic models of chemotaxis. (English) Zbl 1402.35064
Integrating factors and first integrals of a class of third order differential equations. (English) Zbl 1386.34003
Exact solutions of fully nonstationary random vibration for rectangular Kirchhoff plates using discrete analytical method. (English) Zbl 1535.74363
Exact solutions of problems of the theory of repeated superposition of large strains for bodies created by successive junction of strained parts. (Russian. English summary) Zbl 1434.74056
New analytic solutions of two-dimensional nonlocal nonlinear media. (English) Zbl 1411.78004
MSC:
78A40
Obtaining exact analytical solutions for nonstationary heat conduction problems using orthogonal methods. (Russian. English summary) Zbl 1413.35238
A boosted Kerr black hole solution and the structure of a general astrophysical black hole. (English) Zbl 1383.83079
On power series representing solutions of the one-dimensional time-independent Schrödinger equation. (English. Russian original) Zbl 1382.34015
Comput. Math. Math. Phys. 57, No. 6, 967-977 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 6, 973-984 (2017).
About some exact solutions of nonlinear system of the differential equations describing three-party elections. (English) Zbl 1398.34065
Exact solutions of the Liénard- and generalized Liénard-type ordinary nonlinear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator. (English) Zbl 1358.34003
On the existence of multiple solutions of a class of third-order nonlinear two-point boundary value problems. (English) Zbl 1355.34050
Exact energy quantization condition for single Dirac particle in one-dimensional (scalar) potential well. (English) Zbl 1344.81067
Simple equation method for nonlinear partial differential equations and its applications. (English) Zbl 1381.35011
Reviewer: Klaus R. Schneider (Berlin)
A theorem on energy integrals for linear second-order ordinary differential equations with variable coefficients. (English) Zbl 1330.34065
Analytical descriptions of dark and gray solitons in nonlocal nonlinear media. (English) Zbl 1330.78015
Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: an Abel equation based approach. (English) Zbl 1316.35070
Exact solutions of nonlinear wave equations using \((G^\prime/G, 1/G)\)-expansion method. (English) Zbl 1319.34008
Analytical solution to the problem of thermal slip of a rarefied gas along a solid flat surface. (Russian. English summary) Zbl 1340.76078
Reviewer: Artyom Andronov (Saransk)
Reduction of higher order linear ordinary differential equations into the second order and integral evaluation of exact solutions. (English) Zbl 1310.34004
A improved F-expansion method and its application to Kudryashov-Sinelshchikov equation. (English) Zbl 1304.34019
Real wavefunction from generalised Hamiltonian schrodinger equation in quantum phase space via HOA (Heaviside Operational Ansatz): exact analytical results. (English) Zbl 1297.81079
MSC:
81Q05
The last 50 years of general relativity and gravitation: from GR3 to GR20 Warsaw conferences. (English) Zbl 1291.83001
Stressless Schwarzschild. (English) Zbl 1286.83056
On the analytical solving of the problem of thermal creep. (Russian. English summary) Zbl 1299.76225
Reviewer: Artyom Andronov (Saransk)
MSC:
76P05
On analytical solutions of \(f(R)\) modified gravity theories in FLRW cosmologies. (English) Zbl 1267.83087
New simple exact solutions to equation \(P_6\). (English) Zbl 1291.34152
Bruno, Alexander D. (ed.) et al., Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). De Gruyter Proceedings in Mathematics, 13-21 (2012).
Exact spin and pseudo-spin symmetric solutions of the Dirac-Kratzer problem with a tensor potential via Laplace transform approach. (English) Zbl 1260.81063
HOA (Heaviside operational ansatz) revisited: recent remarks on novel exact solution methodologies in wavefunction analysis. (English) Zbl 1320.81056
MSC:
81Q05
New general solutions to the Abel equation of the second kind using functional transformations. (English) Zbl 1254.34002
Exact analytical solutions for nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation. (English) Zbl 1516.35254
Mathematical modeling of transfer processes in plane channels. (Russian. English summary) Zbl 1299.82006
Reviewer: Artyom Andronov (Saransk)
Coupled KdV equation: similarity reduction and analytical solution. (Chinese. English summary) Zbl 1265.35299
The exact solution of a system of two second-order nonlinear ordinary differential equations. (English) Zbl 1249.34004
Elastic equilibrium state of thick-walled heavy transversally-isotropic spheres fixed on the interior surface. (Russian. English summary) Zbl 1449.74037
Trigonometric and hyperbolic type solutions to a generalized Drinfel’d-Sokolov equation. (English) Zbl 1206.35223
A new general algebraic method and its applications to the (2+1)-dimensional Broer-Kaup-Kupershmidt equations. (English) Zbl 1202.35212
Symmetry analysis for the nonlinear model of diffusion and reaction in porous catalysts. (English) Zbl 1197.35018
Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method. (English) Zbl 1186.65138
MSC:
65M99
Toward chemical applications of Heaviside operational ansatz: exact solution of radial Schrödinger equation for nonrelativistic \(N\)-particle system with pairwise \({\frac{1}{r_{ij}}}\) radial potential in quantum phase space. (English) Zbl 1167.81456
A new equation for the mid-plane potential of power law discs. II. Exact solutions and approximate formulae. (English) Zbl 1156.85308
Flow of temperature-dependent viscous fluid between parallel heated walls: exact analytical solutions in the presence of viscous dissipation. (English) Zbl 1406.76017
MSC:
76D99
80A20
Symmetries and exact solutions of the Sharma-Tass-Olver equation. (English) Zbl 1224.37038
MSC:
37K40
37K05
Hypoplasticity theory for granular materials. I: Two-dimensional plane strain exact solutions. (English) Zbl 1349.74082
Hypoplasticity theory for granular materials. II: Three-dimensional axially symmetric exact solutions. (English) Zbl 1349.74081
New classes of nonlinear evolutionary equations. (English) Zbl 1096.37040
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), 325-333 (2004).
Reviewer: N. M. Ivanova (Kyïv)
Symmetry and singularity analysis in epidemiology. (English) Zbl 1101.34023
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), 159-169 (2004).
Reviewer: N. M. Ivanova (Kyïv)
Exact solution of fractional differential equations. (English) Zbl 1091.34503
Reviewer: Ismail Taqi Ali (Safat)
Exact solutions for nonlinear transient flow model including a quadratic gradient term. (English) Zbl 1144.76328
Determining prefracture zones at a crack tip between two elastic orthotropic bodies. (Russian, English) Zbl 1130.74379
Prikl. Mekh., Kiev 39, No. 5, 76-82 (2003); translation in Int. Appl. Mech. 39, No. 5, 566-572 (2003).
Reviewer: A. A. Kaminskij (Kyïv)
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