Found 209 Documents (Results 1–100)
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model. (English) Zbl 1542.92130
A study of the exact solutions and conservation laws of the classical Lonngren wave equation for communication signals. (English) Zbl 07894865
Conserved vectors and symmetry solutions of the Landau-Ginzburg-Higgs equation of theoretical physics. (English) Zbl 07887642
Nonlocal symmetry and group invariant solutions of dissipative \((2+1)\)-dimensional AKNS equation. (English) Zbl 07850552
Optimal system, group invariant solutions and conservation laws of the non-linear elastic wave equation and damped elastic wave equation. (English) Zbl 1527.35023
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
Correction to: “Serrin’s overdetermined problem on \(\mathbb{S}^N \times\mathbb{R}\)”. (English) Zbl 1532.35315
Automatic determination of optimal systems of Lie subalgebras: the package SymboLie. (English) Zbl 07738954
Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Algebraic and cohomological aspects. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 789, 1-17 (2023).
Serrin’s overdetermined problem on \(\mathbb{S}^N \times\mathbb{R}\). (English) Zbl 1528.35080
J. Geom. Anal. 33, No. 10, Paper No. 327, 17 p. (2023); correction ibid. 33, No. 11, Paper No. 363, 1 p. (2023).
Reviewer: Ahmed Mohammed (Muncie)
Explicit formulas for solutions of some \((k+3)\)th-order difference equations. (English) Zbl 1514.39002
MSC:
39A20
Lie symmetries, group invariant solutions and conservation laws of ideal MHD equations. (English) Zbl 07908194
Multiple exp-function solutions, group invariant solutions and conservation laws of a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation. (English) Zbl 1536.35129
Invariant solutions of the supersymmetric version of a two-phase fluid flow system. (English) Zbl 1527.35281
A new \((3+1)\)-Dimensional KdV equation and mkdv equation with their corresponding fractional forms. (English) Zbl 1504.35456
Group invariant solutions and conservation laws of \((2+1)\)-dimensional AKNS equation. (English) Zbl 1513.70095
MSC:
70S10
Lie symmetries, optimal system and group-invariant solutions of the \((3+1)\)-dimensional generalized KP equation. (English) Zbl 07833861
Group analysis of time-fractional equation with Riemann-Liouville derivative. (English) Zbl 1499.35600
Group invariant solutions of certain partial differential equations. (English) Zbl 1485.53046
Reviewer: Mohammed El Aïdi (Bogotá)
Analytic study of solutions for the Cahn-Hilliard equation. (Chinese. English summary) Zbl 1488.35018
Group classification and constructing conservation laws for time-fractional Sawada-Kotera-Parker-Dye equation. (English) Zbl 1477.35299
Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system. (English) Zbl 1477.35063
Generalized Stokes’ flow and radiative heat transfer model of a non-Newtonian fluid in a Darcy porous medium subject to Navier’s slip conditions on the penetrable porous boundary: group theoretical and compatibility analysis. (English) Zbl 1508.76105
The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems. (English) Zbl 1471.58027
Reviewer: Changjin Xu (Guiyang)
Symmetry breaking bifurcations for two overdetermined boundary value problems with non-constant Neumann condition on exterior domains in \(\mathbb{R}^3\). (English) Zbl 1470.35044
Using symmetries à Rebours. (English) Zbl 1467.35023
A group theory approach towards some higher order difference equations, solutions, periodicity and asymptotic behavior. (English) Zbl 1470.39008
Reviewer: Narahari Parhi (Bhubaneswar)
Exact solutions of Newell-Whitehead-Segel equations using symmetry transformations. (English) Zbl 1458.35100
Some more solutions of Caudrey-Dodd-Gibbon equation using optimal system of Lie symmetries. (English) Zbl 1459.35012
On the invariant analysis, symmetry reduction with group-invariant solution and the conservation laws for \((2+1)\)-dimensional modified Heisenberg ferromagnetic system. (English) Zbl 1454.35370
Symmetry multi-reduction method for partial differential equations with conservation laws. (English) Zbl 1453.35009
On the method of preliminary group classification applied to the nonlinear heat equation \(u_t = f(x, u_x) u_{x x} + g(x, u_x)\). (English) Zbl 1452.35010
Conservation laws and symmetry analysis for a quasi-linear strongly-damped wave equation. (English) Zbl 1447.35221
Bifurcation for a free-boundary tumor model with extracellular matrix and matrix degrading enzymes. (English) Zbl 1430.35023
A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws. (English) Zbl 1479.37073
Group-invariant solutions, non-group-invariant solutions and conservation laws of Qiao equation. (English) Zbl 1477.35226
Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation. (English) Zbl 1430.37086
A system of fourth order difference equations. (English) Zbl 07119491
MSC:
65-XX
Lie symmetry analysis and explicit formulas for solutions of some third-order difference equations. (English) Zbl 1420.39010
Statistical Einstein manifolds of exponential families with group-invariant potential functions. (English) Zbl 1426.62403
Lie symmetry analysis and dynamic behaviors for nonlinear generalized Zakharov system. (English) Zbl 1418.35086
On a two-dimensional system of third-order difference equations with variable coefficients. (English) Zbl 1411.39001
Self-excited vibrations for damped and delayed higher dimensional wave equations. (English) Zbl 1426.35024
Reviewer: Lutz Recke (Berlin)
Lie symmetries, group-invariant solutions and conservation laws of the Vasicek pricing equation of mathematical finance. (English) Zbl 1514.91187
Optimal system and group invariant solutions of the \(p\)-center affine flow. (Chinese. English summary) Zbl 1438.35013
Symmetry Lie algebra and exact solutions of some fourth-order difference equations. (English) Zbl 1438.39010
On group-invariant solutions of Konopelchenko-Dubrovsky equation by using Lie symmetry approach. (English) Zbl 1412.37067
MSC:
37K10
Symmetric and asymmetric solutions of \(p\)-Laplace elliptic equations in hollow domains. (English) Zbl 1392.35168
Symmetry analysis and conservation laws of some third-order difference equations. (English) Zbl 1384.39001
MSC:
39A10
Serrin’s overdetermined problem on the sphere. (English) Zbl 1403.35183
Reviewer: Guowei Dai (Dalian)
Invariance analysis and exact solutions of some sixth-order difference equations. (English) Zbl 1412.39006
Optimal system, group invariant solutions and conservation laws of the CGKP equation. (English) Zbl 1398.37071
Rigorous continuation of bifurcation points in the diblock copolymer equation. (English) Zbl 1404.35030
A study of a generalized Benney-Luke equation with time-dependent coefficients. (English) Zbl 1380.35007
Twisted \(\Gamma \times \mathbb T^n\)-equivariant degree with \(n\)-parameters: computational formulae and applications. (English) Zbl 1491.58008
Classification of optimal group-invariant solutions: cylindrical Korteweg-de Vries equation. (English) Zbl 1373.35272
Symmetry, reductions and exact solutions of the difference equation \(u_{n+2}=au_n/(1+bu_nu_{n+1})\). (English) Zbl 1371.39008
The invariance, conservation laws and integration of some higher-order difference equations. (English) Zbl 1371.39007
Solution of the master equation for quantum Brownian motion given by the Schrödinger equation. (English) Zbl 1367.81093
Unsteady magnetohydrodynamic flow of a fourth grade fluid caused by an impulsively moving plate in a Darcy porous medium a group-theoretical analysis. (English) Zbl 1351.35126
Exact solutions and conservation laws for a generalized double combined sinh-cosh-Gordon equation. (English) Zbl 1355.35009
Symmetry methods for differential equations. (English) Zbl 1348.35015
Bullett, Shaun (ed.) et al., Advanced techniques in applied mathematics. Hackensack, NJ: World Scientific (ISBN 978-1-78634-021-4/hbk; 978-1-78634-022-1/pbk). LTCC Advanced Mathematics Series 1, 173-196 (2016).
Reviewer: Boris S. Kruglikov (Tromsø)
Lie symmetry reductions and exact solutions of an option-pricing equation for large agents. (English) Zbl 1344.35153
Pattern formation for the Swift-Hohenberg equation on the hyperbolic plane. (English) Zbl 1342.35039
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Multiparameter bifurcation and symmetry breaking of solutions of elliptic differential equations. (English) Zbl 1316.35027
Nonradial maximizers for a Hénon type problem and symmetry breaking bifurcations for a Liouville-Gel’fand problem with a vanishing coefficient. (English) Zbl 1316.35028
Reviewer: Junichi Aramaki (Saitama)
Positive solutions of the \(p\)-Laplace Emden-Fowler equation in hollow thin symmetric domains. (English) Zbl 1340.35021
Reviewer: Giovanni Anello (Messina)
Symmetries and some special solutions of the Helfrich model. (English) Zbl 1312.76053
Ganghoffer, Jean-François (ed.) et al., Similarity and symmetry methods. Applications in elasticity and mechanics of materials. Lecture notes given at the EUROMECH workshop ‘Similarity, symmetry and group theoretical methods in mechanics, Varna, Bulgaria, June 6–9, 2013. Cham: Springer (ISBN 978-3-319-08295-0/hbk; 978-3-319-08296-7/ebook). Lecture Notes in Applied and Computational Mechanics 73, 353-364 (2014).
Reviewer: Boris V. Loginov (Ul’yanovsk)
A hyperbolic-type affine invariant curve flow. (English) Zbl 1295.53079
MSC:
53C44
53A15
Transverse steady bifurcation of viscous shock solutions of a system of parabolic conservation laws in a strip. (English) Zbl 1302.35044
Electrostatic wave solutions for a nonlinear coupled system in an inhomogeneous collisional dusty magnetoplasma. (English) Zbl 1332.35293
Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains. (English) Zbl 1311.35099
Symmetry reductions, exact solutions, and conservation laws of a modified Hunter-Saxton equation. (English) Zbl 1293.35015
Nonradial solutions for the Hénon equation in \(\mathbb R^N\). (English) Zbl 1335.35077
Reviewer: Lutz Recke (Berlin)
Symmetry breaking bifurcation from solutions concentrating on the equator of \(\mathbb S^N\). (English) Zbl 1288.35054
Reviewer: Guy Katriel (Haifa)
Least energy solutions and group invariant solutions of the Hénon equation. (English) Zbl 1296.35042
Reviewer: Dagmar Medková (Praha)
Lie symmetry analysis and invariant solutions of the generalized fifth-order KdV equation with variable coefficients. (English) Zbl 1259.35185
Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equation. (English) Zbl 1257.35151
Conserved quantities and group classification of wave equation on hyperbolic space. (English) Zbl 1258.35010
Symmetry reductions and exact solutions of a variable coefficient \((2+1)\)-Zakharov-Kuznetsov equation. (English) Zbl 1390.35311
Symmetry solutions and reductions of a class of generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation. (English) Zbl 1401.35270
Symmetries and group-invariant solutions of the \(m\)KdV equations. (Chinese. English summary) Zbl 1265.35322
MSC:
35Q53
Symmetry group methods for fundamental solutions of equations. (Chinese. English summary) Zbl 1265.35003
Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients. (English) Zbl 1221.35338
Kac-Moody-Virasoro symmetry algebra of \((2+1)\)-dimensional dispersive long-wave equation with arbitrary order invariant. (English) Zbl 1219.35015
Periodic solutions to \(O(2)\)-symmetric variational problems: \(O(2)\times S^1\)-equivariant gradient degree approach. (English) Zbl 1222.47084
Leizarowitz, Arie (ed.) et al., Nonlinear analysis and optimization II. Optimization. A conference in celebration of Alex Ioffe’s 70th and Simeon Reich’s 60th birthdays, June 18–24, 2008, Haifa, Israel. Providence, RI: American Mathematical Society (AMS); Ramat-Gan: Bar-Ilan University (ISBN 978-0-8218-4835-7/pbk). Contemporary Mathematics 514; Israel Mathematical Conference Proceedings, 45-84 (2010).
Reviewer: Kungching Chang (Beijing)
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