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Dispersion Effect on Traveling Wave Solution of K dV Equation

Dispersion Effect on Traveling Wave Solution of K dV Equation

... the wave and produce solitary-like waves that are physically unrealistic or ...travelling wave solution of K-dV and their numerical estimation as ...

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Travelling wave solution to a generalized Kuramoto-Sivashinsky equation

Travelling wave solution to a generalized Kuramoto-Sivashinsky equation

... It is known that the KS equation has travelling wave solution in terms of hyperbolic tangent function, whereas the KdVB equation has travelling wave solution invo[r] ...

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Travelling Wave Solution of the Fisher Kolmogorov Equation with Non Linear Diffusion

Travelling Wave Solution of the Fisher Kolmogorov Equation with Non Linear Diffusion

... travelling wave solution of the Fisher equation and found the theoretical minimum wave speed of growth front by using an eigenvalue analysis of stationary ...the wave speed found by eigenvalue ...

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A solitary wave solution to a perturbed KdV equation

A solitary wave solution to a perturbed KdV equation

... unperturbed solution, at first order we find two types of secular terms – exponentially secular terms, which must be removed by choice of η, and what we refer to as algebraically secular ...

7

Analysis of the Solitary Wave Solution based on
the Jacobi Elliptic Functions

Analysis of the Solitary Wave Solution based on the Jacobi Elliptic Functions

... For researching the dispersion problem of information transmission in optical fiber, the nonlinear Schrödinger equation had been constructed from the generalized high order nonlinear Schrodinger equation which was ...

5

Exact dipole solitary wave solution in metamaterials with higher order dispersion

Exact dipole solitary wave solution in metamaterials with higher order dispersion

... solitary wave solution has been derived using an ansatz ...solitary wave in MMs, which are much broader than those typically encountered in optical fibre ...new wave can exist in nor- mal-GVD ...

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Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas

Solitary Wave Solution of the Two Dimensional Regularized Long Wave and Davey Stewartson Equations in Fluids and Plasmas

... solitary wave solutions of the (2+1)-dimensional regularized long-wave (2DRLW) equation which is arising in the investigation of the Rossby waves in rotating flows and the drift waves in plasmas and (2+1) ...

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Dispersive Traveling Wave Solution for Non Linear Waves Dynamical Models

Dispersive Traveling Wave Solution for Non Linear Waves Dynamical Models

... In waves dynamics, Generalized Kortewegde Vries (gKdV) equation and Sa- wada-Kotera equation (Ske) have been used to study nonlinear acoustic waves, an inharmonic lattice and Alfven waves in a collisionless plasma, and a ...

14

A Nonlinear Ship Wave Solution Method

A Nonlinear Ship Wave Solution Method

... The RAPID method is known to have a higher accuracy than linearised codes because it closely models the full nonlinear free surface. These computations are carried out via an iterative procedure with convergence criteria ...

57

Rogue Wave for the Benjamin Ono Equation

Rogue Wave for the Benjamin Ono Equation

... In recent years, rogue waves, as a special type of nonlinear waves and also known as freak waves, monster waves, killer waves, extreme waves, abnormal waves [12], have triggered much interest in various physical ...

7

HIGH FREQUENCY HOMOGENISATION FOR ELASTIC LATTICES

HIGH FREQUENCY HOMOGENISATION FOR ELASTIC LATTICES

... order solution is expressed as a product between the standing wave solution and long-scale envelope functions that are eigensolutions of the homogenised partial differential ...

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Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation

Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation

... travelling wave solutions is very helpful for mechanical and civil engineers to apply the nonlinear water model in harbor and coastal ...soliton wave solutions of Burges-Boussinesq equations were ...

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The Wave Equation and General Plane Wave Solutions in Fractional Space

The Wave Equation and General Plane Wave Solutions in Fractional Space

... analytical solution of vector wave equation in fractional ...plane wave solution to the wave equation for fields in source-free and lossless media is obtained in fractional ...obtained ...

10

Unstable periodic wave solutions of Nerve Axion diffusion equations

Unstable periodic wave solutions of Nerve Axion diffusion equations

... It is known that for u, if > 0 is sufficiently small, equation Gu,w I.I has two types of wave solutions, namely, pulse travelling wave solutions and A travelling wave solution is a solut[r] ...

10

Some New Exact Traveling Wave Solutions for the Generalized Benney Luke (GBL) Equation with Any Order

Some New Exact Traveling Wave Solutions for the Generalized Benney Luke (GBL) Equation with Any Order

... traveling wave solution to nonlinear equations plays an important role in the study of nonlinear physical ...traveling wave solutions to nonlinear partial differential equations are proposed such as ...

6

The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)

The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)

... same wave phenomena simulated by the KdV ...width Wave equation because the solutions for solitary waves with a permanent form and speed, for a given value of the parameter µ are waves with an equal width ...

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Local pulse wave velocity as a cardiovascular biomarker

Local pulse wave velocity as a cardiovascular biomarker

... Where the overall variation of the LPWV within a measurement is rather small, the variation between measurements is occasionally large. Between measurements of healthy subjects, there are long-time intervals that can ...

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Multi arrival wavefront tracking and seismic imaging

Multi arrival wavefront tracking and seismic imaging

... While it is possible to calculate all wavefronts generated by the interaction of an incident wavefront with an interface, one has to keep in mind that at each interface four new wavefronts are generated (if P and SV ...

242

A fractional Fourier transform analysis of the scattering of ultrasonic waves

A fractional Fourier transform analysis of the scattering of ultrasonic waves

... the wave scattering problem considered in this ...general solution in §2d will allow for improved extraction of the optimal a for the more complicated case of a chirp which has been scattered by a ...

14

Nonlinear long-wave deformation and runup in a basin of varying depth

Nonlinear long-wave deformation and runup in a basin of varying depth

... follows. Wave propagation and transformation in a basin of slowly varying depth is studied in ...approximate solution of the nonlinear shallow water theory, which allows one describing wave ...

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