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homogeneous wave equation solutions

New study to construct new solitary wave solutions for generalized sinh- Gordon equation

New study to construct new solitary wave solutions for generalized sinh- Gordon equation

... the homogeneous balance method we explore a new application of this method for obtaining the new soliton solutions of the generalized sine–Gordon ...exact solutions involving an arbitrary number of ...

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Exact Traveling Wave Solutions of Equalwidth Equation

Exact Traveling Wave Solutions of Equalwidth Equation

... of homogeneous balance method, the exp function expansion method and traveling wave transformation method are applied to the Equalwidth equation to obtain the exact solution of the Equalwidth equa- ...

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Classifying Exact Traveling Wave Solutions to the Coupled Higgs Equation

Classifying Exact Traveling Wave Solutions to the Coupled Higgs Equation

... traveling wave solutions of the nonlinear differential Equations, such as the inverse scattering method [1], Jacobi elliptic function expansion method [2], homogeneous balance me- thod [3], ( G G ′ ) ...

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The extended homogeneous balance method and exact solutions of the Maccari system

The extended homogeneous balance method and exact solutions of the Maccari system

... the homogeneous balance method more ...extended homogeneous balance method since we have used the homogeneous balance method ...traveling wave solutions of a given nonlinear partial ...

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Exact Solutions to the Boussinesq Burgers Equations

Exact Solutions to the Boussinesq Burgers Equations

... linear equation to the solu- tion of the Boussinesq-Burgers equations is derived by using the simplified homogeneous balance ...given solutions of the linear equation, various exact ...

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Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method

Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method

... exact solutions of nonlinear equations still have drawn a lot of interest by diverse group of ...exact solutions of NLEEs. These methods are the homogeneous balance method [1], the tanh-function ...

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On the Kneser Type Solutions for Two Dimensional Linear Differential Systems with Deviating Arguments

On the Kneser Type Solutions for Two Dimensional Linear Differential Systems with Deviating Arguments

... of solutions satisfying the inequality u(t)u (t) < 0 for t ∈ [0, + ∞ ) for the scalar second-order equation u (t) = pu(t − δ) with constant coefficients p and ...

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Solutions to Time Fractional Diffusion Wave Equation in Cylindrical Coordinates

Solutions to Time Fractional Diffusion Wave Equation in Cylindrical Coordinates

... Previously, in studies concerning time-fractional diffusion-wave equation in cylindri- cal coordinates, only one or two spatial coordinates have been considered 16–27. In this paper, we investigate ...

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The finite speed of propagation for solutions to stochastic viscoelastic wave equation

The finite speed of propagation for solutions to stochastic viscoelastic wave equation

... In this paper, we prove that, for any solution to (1.1) with probability one, the speed of propagation is with velocity less than or equal to 1. This localization result is new for the case of the second order stochastic ...

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M. Besieris, Chairman

M. Besieris, Chairman

... 'otfer wave" ‘l' in both time ...incident wave by sending an advanced 'con- firmation wave' echo ‘I" to the ...particle wave to the correct location on the diffraction ...

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EXISTENCE AND NONEXISTENCE OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

EXISTENCE AND NONEXISTENCE OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

... To study the bifurcation of periodic travelling wave solutions of system (1.2) we shall study the bifurcation solutions of equation (1.5). In the next section we will apply the Lyapunov- ...

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Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions

Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions

... NLS equation () cannot de- scribe the corresponding physical characteristics, and it accounts for the following three points: first, the fourth-order dispersion should be considered when the pulse width is below ...

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Rogue Waves of the Kundu Nonlinear Schrödinger  Equation

Rogue Waves of the Kundu Nonlinear Schrödinger Equation

... It is remarked that the Darboux transformation is an effi- cient method to generate the soliton solutions for inte- grable equations [1]. The determinant representation of n-fold Darboux transformation of AKNS ...

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Spectral schemes on triangular elements

Spectral schemes on triangular elements

... smooth solutions of elliptic par- tial dierential ...Poisson equation with homogeneous Dirichlet boundary conditions on a right ...smooth solutions high spectral accuracy can be ...

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Integral Solutions of Non- Homogeneous Ternary Cubic Equation [2(x+y)]2-15xy=64z3

Integral Solutions of Non- Homogeneous Ternary Cubic Equation [2(x+y)]2-15xy=64z3

... cubic equation [2(x+y)] 2 –15xy=64z 3 is considered for determining its non-zero distinct integral ...integral solutions to the ternary cubic equation under consideration are ...the solutions, ...

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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

... of solutions to obtain the explicit and exact JEF solutions of Equation ...Various solutions of Equation (4) were constructed using JEFs, and these re- sults were exploited in the ...

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LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

... travelling wave solutions of system (4) we shall study the bifurcation solutions of equation ...reduce equation (7) into an equivalent system of four nonlinear algebraic ...

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Bifurcations of Travelling Wave Solutions for the B(m,n) Equation

Bifurcations of Travelling Wave Solutions for the B(m,n) Equation

... litary wave solutions will be ...travelling wave solutions of ...travelling wave solutions in the parameter space of this ...

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Non-existence of Global Solutions to a Wave Equation with Fractional Damping

Non-existence of Global Solutions to a Wave Equation with Fractional Damping

... [4] W. Chen and S. Holm: Physical interpretation of fractional diffusion- Wave equation via lossy media obeying frequency power law. Preprint. [5] W. Chen and S. Holm: Fractional Laplacian, Levy stable ...

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The Solitary Waves Solutions of the Internal Wave Benjamin Ono Equation

The Solitary Waves Solutions of the Internal Wave Benjamin Ono Equation

... wave propagation in the deep ocean are given. Using the obtained analytic solutions, we have discussed the one- and two-solitary internal wave propagation and interaction. With different amplitudes, ...

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