Found 81 Documents (Results 1–81)
Truly nonlinear oscillator with limit cycles and harmonic solutions. (English) Zbl 1526.34023
Reviewer: Narahari Parhi (Bhubaneswar)
A reduced basis method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes. (English) Zbl 1517.65102
Reviewer: Bülent Karasözen (Ankara)
Nonlinear spin dynamics of a couple of nonlinear Schrödinger’s equations by the improved form of an analytical method. (English) Zbl 1538.35343
New travelling wave solution-based new Riccati equation for solving KdV and modified KdV equations. (English) Zbl 1514.35087
Exact solutions of nonlinear equations in mathematical physics via negative power expansion method. (English) Zbl 1490.35378
Dynamics of nonlinear wave propagation to coupled nonlinear Schrödinger-type equations. (English) Zbl 1490.76049
Lie symmetry analysis and conservation laws for the \((2+1)\)-dimensional Mikhalëv equation. (English) Zbl 1467.35287
Lie symmetry analysis, conservation laws and some exact solutions of the time-fractional Buckmaster equation. (English) Zbl 07807448
Symbolic computation of new exact solutions for some nonlinear equations in mathematical physics. (Chinese. English summary) Zbl 1463.68144
A novel Lie group classification method for generalized cylindrical KdV type of equation: exact solutions and conservation laws. (English) Zbl 1428.37068
The algebro-geometric method for solving algebraic differential equations – a survey. (English) Zbl 1411.34007
Rogue wave and interaction phenomenon to \((1+1)\)-dimensional Ito equation. (English) Zbl 1407.35061
Synthesis of oscillators for exact desired periodic solutions having a finite number of harmonics. (English) Zbl 1422.34137
MSC:
34C25
A series of the solutions for the Heisenberg ferromagnetic spin chain equation. (English) Zbl 1394.35507
Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: transformations, general solutions, and integration methods. (English) Zbl 1353.65072
Hidden \(sl(2)\)-algebraic structure in Rabi model and its 2-photon and two-mode generalizations. (English) Zbl 1378.81148
All meromorphic solutions of some algebraic differential equations and their applications. (English) Zbl 1351.34103
New exact solutions of the \((2+1)\)-dimensional Zoomeron equation. (Chinese. English summary) Zbl 1313.35294
The Adomian decomposition method for solving two dimensional Helmholtz equations. (Chinese. English summary) Zbl 1313.65325
Exact analytical solution of the MHD Jeffery-Hamel flow problem. (English) Zbl 1293.76162
MSC:
76W05
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).
Travelling wave solutions for the \((2+1)\) dimensional Nizhnik-Novikov-Veselov equation. (English) Zbl 1278.35222
The general theory of relativity. A mathematical exposition. (English) Zbl 1250.83001
New York, NY: Springer (ISBN 978-1-4614-3657-7/hbk; 978-1-4614-3658-4/ebook). xxvi, 678 p. (2012).
Reviewer: Hans-Jürgen Schmidt (Potsdam)
On the exact solution of certain generic nonlinear polynomial systems with cyclic symmetry. (English) Zbl 1289.13020
Reviewer: Piroska Lakatos (Debrecen)
Exact soliton-like solutions of the variable coefficient compound KdV equation. (Chinese. English summary) Zbl 1265.35296
New exact infinite sequence solutions to the generalized Boussinesq equation. (Chinese. English summary) Zbl 1240.35436
Adjoint-based algorithms and numerical methods for sensitivity generation and optimization of large scale dynamic systems. (English) Zbl 1210.65003
Heidelberg: Univ. Hidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). x, 296 p. (2010).
The Dullin-Gottwald-Holm equation: classical Lie approach and exact solutions. (English) Zbl 1215.35135
Application of exp-function method to coupled Burgers equation with variable coefficients. (Chinese. English summary) Zbl 1224.35377
Symmetry reduced and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with \(p\)-power. (English) Zbl 1203.35250
Symmetry reductions and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with p-power. (English) Zbl 1185.35244
Symbolic computation of exact solutions for the compound KdV-Sawada-Kotera equation. (English) Zbl 1182.65163
An improvement to homotopy perturbation method for solving system of linear equations. (English) Zbl 1189.65087
A modified symmetry reduction method and its application in nonlinear variable coefficient evolution equation(s). (English) Zbl 1182.35196
The auxiliary equation method of triangle type and the exact solution to the nonlinear evolution equation. (Chinese. English summary) Zbl 1199.35334
On exact bounds of polynomials. (Russian. English summary) Zbl 1212.65209
The exact solutions of a modified Volterra lattice. (Chinese. English summary) Zbl 1150.34612
Applications of the combined tanh function method with symmetry method to the nonlinear evolution equations. (English) Zbl 1114.65356
Note on free endpoint stochastic optimal regulator. (Chinese. English summary) Zbl 1171.93392
A direct algebraic method in finding particular solutions to some nonlinear evolution equations. (English) Zbl 1167.35479
Algebraic properties of matrix solutions of Klein-Gordon equation. (English) Zbl 1040.35120
MSC:
35Q58
37K30
Symmetry analysis of the Doebner-Goldin equations. (English) Zbl 1039.35094
Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(1), 240-251 (2002).
Reviewer: I. A. Yehorchenko (Kyïv)
Subgroups of extended Poincaré group and exact solutions of Maxwell equations. (English) Zbl 1039.35124
Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(1), 162-166 (2002).
Reviewer: I. A. Yehorchenko (Kyïv)
Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation. (English) Zbl 1030.35141
Qualitative analysis and exact solutions to the Burgers-Korteweg-de Vries equation. (English) Zbl 1017.35100
Exact analytical solutions to a set of coupled nonlinear differential equations using symbolic computation. (English) Zbl 1016.34002
Shirayanagi, Kiyoshi (ed.) et al., Computer mathematics. Proceedings of the 5th Asian symposium (ASCM 2001), Matsuyama, Japan, September 26-28, 2001. Singapore: World Scientific. Lect. Notes Ser. Comput. 9, 201-210 (2001).
Reviewer: Werner M.Seiler (Mannheim)
Progressive long waves on a slope. (A new solution to the Euler equation?). (English) Zbl 1002.76011
Ganzha, Victor G. (ed.) et al., Computer algebra in scientific computing, CASC 2001. Proceedings of the 4th international workshop, Konstanz, Germany, September 22-26, 2001. Berlin: Springer. 477-489 (2001).
Series equations with associated Legendre functions on the boundary of conical and spherical regions and their application to a scalar problem of diffraction theory. (Ukrainian. English summary) Zbl 0979.78009
Reviewer: O.Yu.Zharii (Kyïv)
Symmetry properties, reduction, and exact solutions for a system of Korteweg-de Vries-like equations. (Ukrainian. English summary) Zbl 0972.35122
Reviewer: I.O.Parasyuk (Kyïv)
Construction of quasi-two- and higher-dimensional quantum integrable models. (English) Zbl 0977.82016
A mathematical and computer model of the main tropical hurricane wave system. (English) Zbl 0985.76098
Axisymmetrical problem of elasticity in displacements for torus. (Ukrainian. English summary) Zbl 1051.74537
Reviewer: O. Yu. Zharii (Kyïv)
Displacement of rigid toroidal inclusion in elastic space. (Ukrainian. English summary) Zbl 1150.74349
Reviewer: O. Yu. Zharii (Kyïv)
An exact solution of the second fundamental problem of elasticity for torus. (Ukrainian. English summary) Zbl 1054.74518
Reviewer: O. Yu. Zharii (Kyïv)
Exact solution to Stokes equation for a torus. (Ukrainian. English summary) Zbl 1150.76381
Reviewer: O. Yu. Zharii (Kyïv)
On exact solutions of the Lorentz-Dirac-Maxwell equations. (English) Zbl 0947.35163
Shkil, Mykola (ed.) et al., Symmetry in nonlinear mathematical physics. Proceedings of the second international conference, Kyiv, Ukraine, July 7-13, 1997. Memorial Prof. W. Fushchych conference. Vol. 1. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine. 214-216 (1997).
Reviewer: R.O.Popovych (Kyïv)
Exact solution of the time optimization problem for linear stationary systems. (English. Russian original) Zbl 0883.49006
Differ. Equations 32, No. 12, 1637-1644 (1996); translation from Differ. Uravn. 32, No. 12, 1645-1652 (1996).
Reviewer: V.Chernyatin (Szczecin)
Exact \((1+1)\)-dimensional solutions to a discrete velocity model for coagulation-fragmentation. (English) Zbl 0819.76069
Analytical solution of a class of coupled second order differential-difference equations. (English) Zbl 0776.34054
Reviewer: P.Marušiak (Žilina)
Hypergeometric solutions of linear recurrences with polynomial coefficients. (English) Zbl 0761.11008
Reviewer: D.M.Bressoud (University Park)
On the hard-hexagon model and the theory of modular functions. (English) Zbl 0654.10026
Reviewer: M.Cheema
Systems of linear equations with dense univariate polynomial coefficients. (English) Zbl 0638.65034
Reviewer: F.Szidarovszky
Exact (symbolic) solution of systems of nonlinear algebraic equations: The direct and reverse running of elimination of unknowns. (Russian) Zbl 0651.65039
Reviewer: A.Galántai
Reflection and transmission of scalar waves by a periodic array of screens. (English) Zbl 0581.73030
The transcendental eigenvalue problem of the exact dynamic stiffness matrix of linearly elastic plane frames. (English) Zbl 0496.73056
Approximate solution of singular integro-differential equations in elastic contact problems. (English) Zbl 0495.73073
Vibration of a finite thin elastic cylinder with internal acoustic field. (English) Zbl 0479.73053
Numerical methods for coupled problems, Proc. int. Conf., Swansea 1981, 742-753 (1981).
Discrete interaction of a plate and a rod. (English. Russian original) Zbl 0437.73095
Sov. Appl. Mech. 15, 1078-1082 (1980); translation from Prikl. Mekh. 15, No. 11, 82-87 (1979).
Ein exakter Algorithmus zur nichtlinearen Optimierung für beliebige Polynome mit mehreren Veränderlichen. (German) Zbl 0471.90072
Beiträge zur Datenverarbeitung und Unternehmensforschung, Bd. 20. Meisenheim am Glan: Verlag Anton Hain. 203 S. DM 44.00 (1978).
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