Results 41 to 50 of about 927 (70)
Approximate solutions to the nonlinear Klein-Gordon equation in de Sitter spacetime
We consider initial value problems for the nonlinear Klein-Gordon equation in de Sitter spacetime. We use the differential transform method for the solution of the initial value problem.
Yazici Muhammet, Şengül Süleyman
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A supersymmetric breaking procedure for $N=1$ Super KdV, using a Clifford algebra, is implemented. Dirac's method for the determination of constraints is used to obtain the Hamiltonian structure, via a Lagrangian, for the resulting solitonic system of ...
Restuccia, A., Sotomayor, A.
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The invariant approach is employed to solve the Cauchy problem for the bond-pricing partial differential equation (PDE) of mathematical finance. We first briefly review the invariant criteria for a scalar second-order parabolic PDE in two independent ...
Aziz Taha +2 more
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Conservation laws for under determined systems of differential equations
This work extends the Ibragimov's conservation theorem for partial differential equations [{\it J. Math. Anal. Appl. 333 (2007 311-328}] to under determined systems of differential equations.
Hounkonnou, Mahouton Norbert +1 more
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A modified Fermi-Walker derivative for inextensible flows of binormal spherical image
Fermi-Walker derivative and biharmonic particle play an important role in skillful applications. We obtain a new characterization on binormal spherical indicatrix by using the Fermi-Walker derivative and parallelism in space.
Suroğlu Gülden Altay
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The optimal investment-consumption problem under the constant elasticity of variance (CEV) model is investigated from the perspective of Lie group analysis. The Lie symmetry group of the evolution partial differential equation describing the CEV model is
Motsepa Tanki +3 more
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Dirac fermion wave guide networks on topological insulator surfaces
Magnetic texturing on the surface of a topological insulator allows the design of wave guide networks and beam splitters for domain-wall Dirac fermions.
Christian Ertler +4 more
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Multi-soliton rational solutions for some nonlinear evolution equations
The Korteweg-de Vries equation (KdV) and the (2+ 1)-dimensional Nizhnik-Novikov-Veselov system (NNV) are presented. Multi-soliton rational solutions of these equations are obtained via the generalized unified method.
Osman Mohamed S.
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Comparison between the (G’/G) - expansion method and the modified extended tanh method
In this paper, firstly, we give a connection between well known and commonly used methods called the (G'G)$\left( {{{G'} \over G}} \right)$ -expansion method and the modified extended tanh method which are often used for finding exact solutions of ...
Akçaği Şamil, Aydemir Tuğba
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The classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation
Under the travelling wave transformation, Calogero-Degasperis-Focas equation was reduced to an ordinary differential equation. Using a symmetry group of one-parameter, this ODE was reduced to a second order linear inhomogeneous ODE.
B. Li +12 more
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