Results 41 to 50 of about 927 (70)

Approximate solutions to the nonlinear Klein-Gordon equation in de Sitter spacetime

open access: yesOpen Physics, 2016
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
doaj   +1 more source

The Hamiltonian structure of a coupled system derived from a supersymmetric breaking of Super KdV equations

open access: yes, 2013
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.
core   +1 more source

Integrability analysis of the partial differential equation describing the classical bond-pricing model of mathematical finance

open access: yesOpen Physics, 2018
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
doaj   +1 more source

Conservation laws for under determined systems of differential equations

open access: yes, 2010
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
core   +1 more source

A modified Fermi-Walker derivative for inextensible flows of binormal spherical image

open access: yesOpen Physics, 2018
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
doaj   +1 more source

Algebraic aspects of evolution partial differential equation arising in the study of constant elasticity of variance model from financial mathematics

open access: yesOpen Physics, 2018
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
doaj   +1 more source

Dirac fermion wave guide networks on topological insulator surfaces

open access: yes, 2012
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
core   +1 more source

Multi-soliton rational solutions for some nonlinear evolution equations

open access: yesOpen Physics, 2016
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.
doaj   +1 more source

Comparison between the (G’/G) - expansion method and the modified extended tanh method

open access: yesOpen Physics, 2016
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
doaj   +1 more source

The classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation

open access: yes, 2006
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
core   +1 more source

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