Search Results - "Ndogmo, J. C"

Group Classification and Conservation Laws of a Class of Hyperbolic Equations by Ndogmo, J. C.

“…Abstracts. A method for the group classification of differential equations is proposed. It is based on the determination of all possible cases of linear…”
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Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra by Ndogmo, J. C.

“…An effective method for generating linear ordinary differential equations of maximal symmetry in their most general form is found, and an explicit expression…”
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First Integrals and Hamiltonians of Some Classes of ODEs of Maximal Symmetry by Ndogmo, J. C.

“…Complete sets of linearly independent first integrals are found for the most general form of linear equations of maximal symmetry algebra of order ranging from…”
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Some Results on Equivalence Groups by Ndogmo, J. C.

“…The comparison of two common types of equivalence groups of differential equations is discussed, and it is shown that one type can be identified with a…”
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Coefficient characterization of linear differential equations with maximal symmetries by Ndogmo, J.C.

“…•We characterize linear and linearizable nonlinear equations admitting maximal Lie symmetries.•We show that such equations depend only on two arbitrary…”
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Structure of Lie point and variational symmetry algebras for a class of odes by Ndogmo, J.C.

“…•The complete structures of various symmetry algebras are found for a class of ODEs.•The maximal dimension of the symmetry algebra is found for arbitrary…”
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High-order accurate implicit methods for barrier option pricing by Ndogmo, J.C., Ntwiga, D.B.

“…This paper deals with a high-order accurate implicit finite-difference approach to the pricing of barrier options. In this way various types of barrier options…”
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Characterization of canonical classes for systems of linear ODEs by Ndogmo, J.C.

“…The equivalence group is determined for systems of linear ordinary differential equations in both the standard form and the normal form. It is then shown that…”
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Symmetry properties of a nonlinear acoustics model by Ndogmo, J. C.

“…We give a classification into conjugacy classes of subalgebras of the symmetry algebra generated by the Zabolotskaya–Khokhlov equation, and obtain all…”
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Group classification of a family of second-order differential equations by Ndogmo, J.C.

“…We find the group of equivalence transformations for equations of the form y ″ = A ( x ) y ′ + F ( y ) , where A and F are arbitrary functions. We then give a…”
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Coefficient characterization of linear differential equations with maximal symmetries by Ndogmo, J. C

“…Commun. Nonlinear Sci. Numer. Simul. 19 no. 5, (2014) 1270--1278 A characterization of the general linear equation in standard form admitting a maximal…”
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Group classification and exact solutions of a class of nonlinear waves by Ndogmo, J. C

“…Appl. Math. Comput. 443 (2023) 127769 We apply an extension of a new method of group classification to a family of nonlinear wave equations labelled by two…”
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Integrable classes of a family of evolution equations by Ndogmo, J. C

“…J. Math. Phys. 63 (2022) 011510 The problem of classification into symmetry integrable classes is solved for a family of second order nonlinear evolution…”
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Group classification and exact solutions of a class of nonlinear waves by Ndogmo, J.C.

“…•Group classification performed with the new method of indeterminates.•Soliton solutions and other solutions found by four different methods.•General results…”
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Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides by Ndogmo, J.C., Donkeng, H.Y.

“…The principal algebra Lp of coupled nonlinear Schrödinger equations describing the propagation of polarized optical pulses and involving four-wave mixing terms…”
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Group-invariant solutions of a nonlinear acoustics model by Ndogmo, J. C

“…J. Phys. A: Math. Theor. 41 (2008) 485201 Based on a recent classification of subalgebras of the symmetry algebra of the Zabolotskaya-Khokhlov equation, all…”
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Equivalence transformations of the Euler–Bernoulli equation by Ndogmo, J.C.

“…We give a determination of the equivalence group of the Euler–Bernoulli equation and of one of its generalizations, and thus derive some symmetry properties of…”
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On structure-preserving point transformations of differential equations by Ndogmo, J.C.

“…We apply a novel method for the equivalence group and its infinitesimal generators to the investigation of invariants of ODEs. First, a comparative study of…”
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Invariants of differential equations defined by vector fields by Ndogmo, J. C

“…We determine the most general group of equivalence transformations for a family of differential equations defined by an arbitrary vector field on a manifold…”
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Invariants of a semi-direct sum of Lie algebras by Ndogmo, J C

“…J. Phys. A: Math. Gen. 37 (2004) 5635-5647 We show that any semi-direct sum $L$ of Lie algebras with Levi factor $S$ must be perfect if the representation…”
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