[PDF] Top 20 A new approach for one dimensional sine Gordon equation

... nonlinear one-dimensional sine-Gordon (SG) equation came into sight in the dif- ferential geometry and attracted a lot of attention because of the collisional behaviors of solitons that ... See full document

... advection-diffusion equation with the purpose to simulate pollutant dispersion in atmosphere in a more realistic ...advection-diffusion equation (Wortmann et ... See full document

... the sine-Gordon model and it is shown that two completely equivalent Hamiltonian descriptions exist for this ...trix approach are discussed in the light of the two Poisson brackets, each one ... See full document

... In the recent several decades, many developments in computer algebra field have been witnessed. These developments have also lead to solve many nonlinear PDE problems symbolically due to faster symbolic algebraic ... See full document

... there are a few works on fractional-order SGEs. Ray [20] combined the modified decom- position method and Fourier transform to approximate the solution of a fractional SGE. In [21], a family of breather-like solutions for ... See full document

... In the recent decade, the study of nonlinear partial differential equations (NLPDEs) modelling physical phenomena, has become an important tool. In this study, it appears that there are some basic relationships among ... See full document

... the sine-Gordon ...standard one, in the absence of a ...our approach based on the new bracket unifies the various tools used so far to attack the ...Lagrangian approach also ... See full document

... Wehave developed successfully introduce the homogeneous balance method and ob- tained wider classes of exact traveling wave solutions for the generalized sine–Gordon equation by using this binary ... See full document

... The simulation was carried out using sine Gordon equation for the one-dimensional Frenkel-Kontorova dislocation model. In the Frenkel-Kontorova model, the atoms above the glide plane ... See full document

... double sine-Gordon equation and the treble sine-Gordon equation is researched, and the new solutions are ...double sine-Gordon equation and the treble ... See full document

... the sine-Gordon system ...continuum equation may have solutions with special properties, such as travelling waves or ...enables one to determine whether such solutions exist in the next order ... See full document

... nonlinear Sine-Gordon ...nonlinear Sine-Gordon equation, employing the POD technique to build a reduced-order extrapolating finite difference iterative (ROEFDI) scheme containing very ... See full document

... the sine-Gordon ...and sine-Gordon equations. In [23] a new scheme, which has energy-preserving property, is proposed for solving the sine-Gordon equation with ... See full document

... mKdV-ZK Equation and the (1 + 1)-Dimensional Compound KdVB Equation Using New Approach of the Generalized (G'/G)-Expansion ...Some New Exact Traveling Wave Solutions to the ... See full document

... This equation is particularly relevant, because it appears in many areas in mathematics, mechanics and the- oretical physics. It describes, for instance, the deformation of a nonlinear crystal-lattice, dislocation ... See full document

... nonlinear equation they also have a relatively easy starting ...simplest approach for the sine-Gordon model as the limit to the degenerate case could be taken directly from the N -soliton ... See full document

... when one relaxes the constraint on the coupling constants, one can construct a consistent breather sector for the elliptic sine-Gordon ...bootstrap equation related to the fusing of two ... See full document

... for one particular ordering of the µ’s, ...ing equation (11). Despite the fact that we do not gain anything new, it is still instructive to verify (5) as a consistency check also for the different ... See full document

... function approach also determines some periodic solutions including the rational functions of exponential and trigonometric function in both numerator and denominator ... See full document

... the back of this algorithm is the special lifestyle and egg laying conduct of these birds. Cuckoo Optimization algorithm (COA) begins with an initial population. The cuckoo population, in distinctive societies, is in ... See full document